BHARATHIDASAN UNIVERSITY Tiruchirappalli - 620024
Tamilnadu
India
DEPARTMENT OF NONLINEAR DYNAMICS
PROFILE
The Centre for Nonlinear Dynamics was created in recognition of the excellent contributions
made to the field of nonlinear dynamics at the international level and in recognition of the S. S.
Bhatnagar prize (nation's highest science prize) in Physical Sciences awarded to Prof. M. Lakshmanan
(at present Professor of Eminence in the Centre for Nonlinear Dynamics, School of Physics) in 1990
to promote research in this area. In the subsequent years, it was liberally supported by the Department
of Science and Technology (DST) and the Department of Atomic Energy (DAE), Government of
India towards the development of infrastructure, manpower, library and computational facilities.
Today, the Centre is recognized as one of the top-ranking Centres of excellence in Nonlinear
Dynamics at the National and International levels. The Centre has three regular faculty members (1
Professor, One Associate Professor and 1 Assistant Professor) besides Dr. M. Lakshmanan as
Professor of Eminence and two more faculty members (1 Professor and 1 Assistant Professor) from
the Department of Physics forming the Nonlinear Dynamics group. About 33 research scholars have
obtained their Ph.D degree in Nonlinear Dynamics so far and at present 22 students are pursuing their
research towards Ph.D degree. More than 25 post-doctoral fellows have worked at the Centre and at
present 6 post-doctoral fellow are working. In addition, the Centre receives a regular stream of
visiting scholars and scientists from within India and abroad for collaborative research and for
discussion.
The Centre has a very strong expertise in the theoretical, experimental and application aspects
of integrable systems, solitons, optical solitons, solitons in ordered magnetic systems magnetization
switching dynamics solitons in protein and liquid crystals, solitons in DNA molecules, chaos,
quantum chaos, chaos synchronization, time delayed dynamical systems, Bose-Einstein condensation,
spatio-temporal patterns, and nonlinear electronic circuits and systems. During a span of 25 years or
so the Centre has published more than 500 research articles, in internationally reputed scientific
journals with high impact factor, and ten books. It has organized several national and international
conferences, workshops and schools and other meetings in different areas of Nonlinear Dynamics and
Physics. The faculty and students of the Centre have received invitations to visit and collaborate with
reputed groups in many international institutions, both inside and outside the country. Several
prestigious awards and recognitions at the national and international levels have also been received by
members of the faculty including S. S. Bhatnagar Prize, Tamilnadu Scientist Award, Goyal Prize, R.
D. Birla Award, Fellowships of Science Academies, Membership of Editorial Boards of prestigious
journals, Post-Doctoral research Fellowships abroad, Associateship by reputed institutes in abroad,
Guest and Visiting Scientist positions, etc. The Centre has been identified as one of nodal points for
Theoretical Physics Seminar Circuit (TPSC) programme by DST. It has also developed a close
association with the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.
Several research funding agencies such as DAE, DST, UGC, CSIR, INSA, NBHM, etc. have
sponsored research projects at the Centre. The Centre for Nonlinear Dynamics has been identified as a
Centre for Intensification of Research in High Priority Areas around outstanding persons (IRHPA) by
DST. Grants to the tune of Rs. 87.00 lakhs (1996-2002) and Rs.1.00 crore (2002-2008) has been
sanctioned to carry out research at the Centre and an enhanced grant of Rs.3.5 crores has been
sanctioned for the period 2008-2015 by DST. During the past 15 years, a Library grant on an average
to the tune of Rs. 4.0-5.0 lakhs per annum for this Centre has been sanctioned by DAE-NBHM. The
Centre has developed a high performance computing facility through support received mainly from
DST.
From the academic year 2018-2019 the Centre for Nonlinear Dynamics has been reconstructed into the Department of Nonlinear Dynamics under School of Physics.
Preface
Prof. M. Lakshmanan receiving S.S.Bhatnagar
(India’s Highest Scientific Award) - 1989 U.G.C. Hari Om Trust - Meghnad Saha
Award in Theoretical Sciences - 1990
National Recognitions
International Recognitions
Prof. M. Lakshmanan Elected Fellow of the Academy of
Sciences for the Developing World (FTWAS) - 2009
1
• To carry out Basic, Applied andAdvanced Research in various fieldsof Physics/Nonlinear Dynamics.
2
• To associate with institutions andindustries in a meaningful way totransfer technology.
To conduct world-classResearch programmes inTheoretical Physics/NonlinearDynamics.
Vision
To carry out AdvancedResearch in different areas ofPhysics/Nonlinear Dynamics.
Mission
Objectives
Prof. K. Thamilmaran Professor and Head
Dr. M. Senthilvelan
Associate Professor
Prof. M. Lakshmanan
Professor of Eminence &
DST – SERB Distinguished Fellow
Faculty Members
Area of Research/ Specialization
1. Nonlinear Dynamics, Chaos, Synchronization of Chaos, State Controlled Cellular Neural Network (SC-CNN),
Nonlinear Electrical Circuits and its Applications.
2. Transient chaos, Extreme events, Bifurcation delay in a
network oscillators.
3. Fractional order systems, revival of oscillations from
death in coupled nonlinear oscillators.
Dr. K. THAMILMARAN Professor & Head
Achievements made in Teaching/Research/Extension No. of Research Publications : 50 No. of papers presented in Conferences : 21 h-index : 15 i-10 index : 20 Total Citations : 711 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 2 Consultancies Completed/Ongoing : --
Research Group Members
Present Members Past Members
1. Mr. P. Meghavarna Ezhilarasu
2. Mr. S. Dinesh Vijay
3. Mr. J. Palanivel
4. Mr. J. Umar Malik
5. Mr. T. Pakiaraj
1. Dr. P. S. Swathy
2. Dr. R. Jothimurugan
3. Dr. K. Suresh
4. Dr. S. Sabarathinam
5. Dr. D. Premraj
6. Mr. S. Leo Kingston
For more details visit:
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_k_thamilmaran.pdf
https://scholar.google.co.in/citations?user=anu3xtgAAAAJ&hl=en
Faculty Profile
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_k_thamilmaran.pdfhttps://scholar.google.co.in/citations?user=anu3xtgAAAAJ&hl=en
Area of Research/ Specialization
Dynamical Systems (Classical and
Quantum)
Mathematical Methods
Quantum Entanglement Dr. M. SENTHILVELAN Associate Professor
Achievements made in Teaching/Research/Extension No. of Research Publications : 130
No. of papers presented in Conferences : 15
h-index : 24
i-10 index : 52
Total Citations : 1882
Extension : Resource Person in several Faculty Development Programmes
Products Developed : --
Projects Completed/Ongoing : 06/ 03
Teaching : Teaching modules were developed in the topics Vector Calculus and Statiscal Mechanics
Awards and Recognitions Awarded Postdoctoral research fellowship for the year 2000-’03 by the University of
Sydney, Sydney, Australia.
Awarded Fundacao de Amparoa Pesquisa do Estado de Sao Paulo (FAPESP, Brazil) Postdoctoral research fellowship for the year 1998 – ’2000.
Awarded Consiglio Nazionale delle Ricerche (National Research), Italy, Postdoctoral research fellowship for the year 1997 – ’98.
Awarded Senior Research Fellowship by Council of Scientific and Industrial Research, Government of India for the year 1992 – ’95.
Qualified in Graduate Aptitude Test in Engineering (GATE) in the year 1989 with an overall percentile score of 84.73 conducted by Ministry of Human Resources, Government of India.
Research Group Members
Present Members Past Members
1. S. Sudharsan
2. S. Thamizharasan
3. Nissi Thomas
4. N. Sinthuja
1. Dr. V. Chithika Ruby
2. Dr. N. Vishnu Priya
3. Dr. R. Mohanasubha
4. Dr. N. Ananth
5. Dr. K. Manikandan
6. Dr. K. Premalatha
7. Ms. S. Karthiga
8. Mr. S. Stalin
For more details visit:
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_senthil_velan.pdf
https://scholar.google.co.in/citations?user=LuWsn-8AAAAJ&hl=en&oi=ao
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_senthil_velan.pdfhttps://scholar.google.co.in/citations?user=LuWsn-8AAAAJ&hl=en&oi=ao
Area of Research/ Specialization
Theoretical/ Mathematical Physics
with special reference to Nonlinear
Dynamics
Solitons
Chaos
Prof. M. LAKSHMANAN Professor of Eminence &
DST-SERB Distinguished Fellow
Achievements made in Teaching/Research/Extension No. of Research Publications : 340 No. of papers presented in Conferences : 26 h-index : 58 i-10 index : 228 Total Citations : 12763 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : 19/ 04 Consultancies Completed/Ongoing : --
Awards and Recognitions
University Grants Commission Career Award for Young Scientists (1980).
Raman Research Prize-Gold Medal, University of Madras (1980).
Best University Teacher Award (1984), Govt. of Tamil Nadu.
S.S. Bhatnagar Prize in Physical Sciences (1989) (India's highest scientific prize).
Member, National Board for Higher Mathematics (1989-92).
Fellow of the Indian National Science Academy (1992).
Fellow of the Indian Academy of Sciences (1991).
Fellow of the National Academy of Sciences, India (1989).
Prof. G. Sankaranarayanan Endowment Lecturer, Annamalai University (1991).
Tamilnadu Scientists Award (TANSA) – 1993/94.
U.G.C. Hari Om Trust - Meghnad Saha Award in Theoretical Sciences (1990).
Hari Om Ashram Prerit Shri Hari Vallabhdas Chunilal Shah Research Endowment Prize –
1996
Dr. Biren Roy Memorial Lecture Award of INSA – 1998.
Foreign Member, Royal Academy of Sciences, Uppsala, Sweden (1999).
Professor M.M. Thomas Endowment Lectureship Award, Bishop Moore College,
Mavelikara (2001)
Awarded ICTP Senior Associate Fellowship, Trieste, Italy (2002-2008).
76th Indian Science Congress Madurai Kamaraj University Distinguished Scientist Award
(2004).
Dr. V. Shanmuga Sundaram Endowment Lectureship Award, Annamalai University
(2005).
Professor Vishnu Vasudeva Narlikar Memorial Lecture Award of INSA - 2006 (Given in
2008).
Goyal Prize in Physics 2005 (given in 2008).
A.C. Banerjee Memorial Lecture Award of National Academy of Sciences -2007.
Conferred Doctor of Science (Honoris Causa) by University of Burdwan for outstanding
contribution to Nonlinear Dynamics (2009).
Elected Fellow of the Academy of Sciences for the Developing World (FTWAS) - 2009.
NASI – Platinum Jubilee Senior Scientist (2016).
R. D. Birla Award for Excellence in Physics – 2014 by Indian Physics Association.
Selected DST – SERB Distinguished Fellow (2017).
Research Group Members
Present Members Past Members
1. Dr. A. Govindarajan
2. Dr. R. Arun
3. Dr. V. Chithika Ruby
4. S. Stalin
5. R. Ramakrishnan
6. M. Sathish Aravind
Please see Faculty Profile given below
For more details visit:
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_lakshmanan.pdf
https://en.wikipedia.org/wiki/Muthusamy_Lakshmanan
https://scholar.google.co.in/citations?user=OP7lpFkAAAAJ&hl=en&oi=ao
http://www.bdu.ac.in/schools/physics/non-linear-dynamics/docs/faculty/dr_m_lakshmanan.pdfhttps://en.wikipedia.org/wiki/Muthusamy_Lakshmananhttps://scholar.google.co.in/citations?user=OP7lpFkAAAAJ&hl=en&oi=ao
Retired Faculty
Area of Research/ Specialization
Nonlinear Dynamics of Ordered Magnetic Systems, Liquid Crystals, Bio-molecularSystems and Nonlinear
Electronic Circuits.
Magnetization Switching Dynamics in Nanostructured Magnetic Materials.
Soliton and Chaos in Nonlinear Dynamical Systems. Prof. M. Daniel
Achievements made in Teaching/Research/Extension No. of Research Publications : 90 No. of papers presented in Conferences : 22 h-index : 22 i-10 index : 36 Total Citations : 1325 Patents Granted/Filed : -- Products Developed : -- Projects Completed/Ongoing : -- Consultancies Completed/Ongoing : --
Awards and Recognitions Post-doctoral visitor at Princeton University, New Jersey and Rutgers University, New
Brunswick, USA for two months in 1991.
Visiting scientist at the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy in 1983, 1991, 1992, 1994, 1995, 2001, 2002, 2003, 2005 and 2009.
Visiting Fellow at the University of New South Wales, Kensington, Australia during October-December 1993.
Guest Scientist at the Neutron Scattering Centre, Hahn-Meitner Institute, Berlin, Germany during July 10-24, 1994.
Visiting Scientist at the Hahn-Meitner Institute, Berlin, Germany during 1996-97 under the bilateral exchange programme of INSA and DFG (Germany)
Biographical data included in the 14th and 18th Editions (1994 and 1998) of Marquis "Who's Who in the World” published in U.S.A.
Listed among the 200 researchers worldwide in the “Who’s Who of Physics of Life” by Elsevier Science Publishing, The Netherlands, in appreciation of my work on protein
molecules with interspine coupling.
Research Group Members
Present Members Past Members
1. K. Prabakaran
1. Dr. R. Amutha 2. Dr. M. M. Latha 3. Dr. V. Veerakumar 4. Dr. L.Kavitha 5. Dr. K. Gnanasekaran 6. Dr. Vasumathi 7. Dr. J. Beula
8. Dr. P. Sabareesan 9. Dr. M. Vanitha 10. Dr. A. Arulgnanam 11. Dr. R. Arun 12. Dr. D. Aravindhan 13. D. Giridharan
Department of Science
and Technology
Government of India
Centre for Scientific
and Industrial Research
Government of India
University Grants
Commission
Government of India
Department of Atomic
Energy
Government of India
National Board for
Higher Mathematics
Government of India
Indian National Science
Academy
Government of India
Science & Engineering
Research Board
Government of India
Innovation in Science
Pursuit for Inspired
Research
Government of India
49%
19%
8%
7%
6%
5%4%2%
Funds Received
Funding Agency
Citations in Each Year
(Web of Science)
Sum of the Times Cited: 7212 h-index: 43
Articles published
in
Publications in International Journals
S. No. Conferences/Workshops/Seminars Period
1. NMI workshop on “Nonlinear Intergable Systems and their
Applications”
February 24- March
01, 2014
2. Sixth National Conference on Nonlinear Systems and
Dynamics (NCNSD-2011) January 27-30 2011
3. DST-SERC School on “Nonlinear Dynamics” January 04 - 26 2011
4. National Workshop And Conference On
Computational Methods For Nonlinear Dynamics
September 22-25,
2010
5. Seminar on “Frontier Topics in Fundamental Physics” March 30-31, 2009
6. Frontier Topics in Theoretical Physics March 29-30, 2009
7. National Seminar on Nonlinear Electronics and Pintronics March 20- 21, 2009
8. International Conference on “Nonlinear Dynamics” February 13 – 16,
2008
9. Workshop on “High Performance Computing” August 6 – 9, 2007
10. Seminar on Bifurcation, Chaos, Synchronization and
Applications December 6 – 7, 2005
11. Seminar on “Recent Developments in Physics” November 21-22,
2005
12. 71st Annual Meeting of Indian Academy of Sciences November11-13, 2005
13. International Conference on "Nonlinear Dynamics:
Integrability and Chaos" February 12-16, 1998
14. Workshop on "Recent Developments in Chaotic Dynamics" December 9-13, 1996
15. Winter School on "Integrable Systems and Low
Dimensional Many-Body Problems"
Dececember18-23,
1995
16. Winter School on 'Analysis, Manifolds and Physics' December 20, 1992 -
January 9, 1993.
Ph. D. Physics
Eligibility: M.Sc. / M.Phil. Physics
Selection Procedure:
Selection will be made on the basis of merit list prepared by Bharathidasan University through
Ph.D. entrance exam.
Programmes offered
Conferences/ Workshops/ Seminars organized
S. No. Name Reg. No. Fellowship
1. Chithiika Ruby V PH6829 CSIR
2. Subash B PH6575 DST-Phase II
3. Vishnu Priya N PH43638 UGC
4. Gopal R PH10885 DST Phase-III
5. Aravinthan D PH34151 DST-INSPIRE
6. Giridharan D PH34160 DST-INSPIRE
7. Manikandan K PH34149 UGC
8. Mohanasubha R PH18333 UGC
9. Stalin S PH36011 DAE
10. Sabarathinam S PH45626 UGC-RFSMS
11. Premalatha K PH413006 DAE
12. Karthiga S PH7928 DST
13. Leo Kingston S PH38454 UGC-RFSMS
14. Premraj D PH45645 UGC-RFSMS
15. Megavarna Ezhilarasu P PH17387 DST-SERB
16. Ramakrishnan R PH40000 DAE
17. Sudharsan S PH39998 DST-INSPIRE
18. Thamizharasan S PH39999 DST-SERB
19. Dineshvijay PH06107 URF
20. Sinthuja N PH08519B URF
Details of Fellowships being availed by the Research
Scholars/Project Staff
S. No. Reg. No. Name Exam(s) Qualified
1. PH6829 Chithiika Ruby V CSIR - SRF
2 PH7928 Karthiga S NCB-GATE for MHRD
3. PH34160 Giridharan D SET- Govt. of Tamilnadu
4. PH7928 Karthiga S SET- Govt. of Tamilnadu
5. PH39998 Sudharsan S SET- Govt. of Tamilnadu
Awards Received by students/scholars Year Name of the
Awarded Students
National Awards
Name of the Award Awarding
Institution
2017-18 S. Leo kingston &
D. Premraj
5th International Conference on
“Complex Dynamical Systems
and Applicatons , 2017 with
cash Award Rs. 5000/- held at
Indian Institute of Technology,
Guwahati
American Chemical
Society, North West
Washington, USA
2017-18 Sudharsan S DST -INSPIRE DST
2017-18 Manikandan K National Post – doctoral
Fellowship
DST-SERB
2017-18 Mohanasubha R Kothari Fellowship UGC
2016-17 Sabarathinam S National Post – doctoral
Fellowship
DST-SERB
2016-17 Vishnupriya N Kothari Fellowship UGC
2016-17
Subash B
National Post – doctoral
Fellowship
DST-SERB
2013-14 Giridharan D DST -INSPIRE DST
2013-14 Karthiga S DST -INSPIRE DST
2013-14 Aravinthan D DST -INSPIRE DST
2010-2014 Chandrasekar V K Associate in the Indian
Academy Science
IAS
2010 –2013 Senthilkumar D V Research Scientist, Potsdam
Institute for Climate Impact
Research, Potsdam, Germany
Potsdam Institute,
Germany
Students’ Achievements
Country List of Colloborators
USA M.D. Kruskal, E.C.G. Sudarshan, L.O. Chua, J.R.
Klavder, Avadh Saxena
U.K
R.K. Bullough, P. Caudrey, W. Zakrzewski, A.
Parker, A.N.W. Hone, J. Nimmo, D.E. Parker,
Michael Berry,
C.R. Gilson
Spain Jose F Carinena, Manuel F Ranada, P.R. Gordoa, A.
Pickering, M.L. Gandarias, M.S. Bruzon
Japan H. Hasegawa, T. Kato, K. Nakamura, M. Wadati,
Yoshinori Okazaki
Collaborators Abroad
UK15%
Spain10%
USA8%
Japan8%
Australia8%
Kazhakastan8%
Poland5%
France5%
Sweden5%
China3%
Canada3%
Germany3%
Greece3%
Netherland3%
Brazil2%
Italy2%
Finland2%
Belgium2%
Srilanka2%
Country Wise Distribution
Australia R. Quispel, C.J. Thompson, K.A. Ross, K.P. Dabke,
Nail Akhmediev
Kazhakastan R. Myrzakulov, R.N. Syzdykova, A.K. Danlybaeva,
K.R. Yesmakhanova, G.N. Nugmanova
Poland T. Kapitaniak, Z. Popowicz, M. Jaworski
France B. Grammaticos, Alfred Ramani, R. Conte
Sweden P.O. Froman, N. Froman, F. Karlsson
China Li Yi Shen, Xiaoyan Tang
Germany Ulrike Feudel, J. Kurths
Canada Alexei F. Cheviakov, G. Bluman
Greece T. Bountis, L.B. Drossos
Netherland Th.W. Ruijgrok, L.F.J. Broer
Other
Countries
R.A. Kraenkel (Brazil), M. Torrisi (Italy),
J. Hietarinta (Finland), P. Gaspard (Belgium),
A.G. Johnpillai (Srilanka)
Year of
passing Name
Name of the
Supervisor/Convenor Present Position
1981 Kaliappan P Prof. M. Lakshmanan Deceased
1983 Daniel M Prof. M. Lakshmanan
CEO, DRSNS Rajalakshmi college of
Arts & Science
QAP, Director, SNS Group of
Instituitions
1986 Tamizhmani K.M Prof. M. Lakshmanan Professor of Mathemaics,
Pondicherry University (Deceased)
1987 Sahadevan R Prof. M. Lakshmanan
UGC Emeritus Professor, Ramanujan
Institute of Advanced Study in
Mathematics University of Madras,
Chennai
1988 Ganesan S Prof. M. Lakshmanan Professor, Govt. College of
Technology, Coimbatore.
1991 Porsezian K Prof. M. Lakshmanan Professor of Physics, Pondicherry
University (Deceased)
1992 Rajasekar S Prof. M. Lakshmanan
Professor, Department of Physics,
Bharathidasan University,
Tiruchirappalli
1993 Ganesan K Prof. M. Lakshmanan
Director, Senior Professor, School of
IT & Engg. Vellore Institute of
Technology, Vellore
1993 Parthasarathy S Prof. M. Lakshmanan
Head, Department of Bio-
Informatics, Bharathidasan
University, Tiruchirapalli
1995 Murali K Prof. M. Lakshmanan Professor, Department of Physics,
Anna University, Chennai
1996
Senthilvelan M Prof. M. Lakshmanan
Associate Professor, Department of
Nonlinear Dynamics, Bharathidasan
University, Tiruchirapalli
Radha R Prof. M. Lakshmanan
Associate Professor and Head,
Government College for Women,
Kumbakonam
1997 Amuda R Prof. M. Daniel
Associate Professor, Department of
Physics P.S.G. College of
Technology, Coimbatore
1998 Radhakrishnan R Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Jamal Mohamed College,
Tricuhirapalli
2000 Muruganandam P Prof. M. Lakshmanan Associate Professor, Department of
Ph. D. Awardees
Physics, Bharathidasan University,
Tiruchirapalli
Venkatesan A Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Nehru Memorial College,
Puthanampatti
2002
Athavan N Prof. M. Lakshmanan Head, Department of Physics, H.H.
The Rajah's College, Pudukkottai
Latha M.M Prof. M. Daniel
Head, Department of Physics,
Women's Christian College,
Nagerooil
2003
Kanna T Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Bishop Heber College,
Tiruchirapalli
Kavitha L Prof. M. Daniel
Professor and Head, Department of
Physics, Central University of
Tiruvarur, Tiruvarur
2004
Vijayalakshmi S Prof. M. Lakshmanan Associate Professor, Department of
Physics, Presidency College, Chennai
Veerakumar V Prof. M. Daniel Senior Research Associate, Seagate
Technologies, USA
2005 Thamilmaran K Prof. M. Lakshmanan
Associate Professor, Department of
Nonlinear Dynamics, Bharathidasan
University, Tiruchirapall
2006 Palaniyandi P Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Nehru Memorial College,
Puthanampatti
2007
Bindu P.S Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Lady Doak College,
Madurai
Senthilkumar C Prof. M. Lakshmanan
Professor of Physics, Vinayaka
Mission’s, Kirupananda Variar,
Engineering College, Salem
Senthilkumar D.V Prof. M. Lakshmanan Assistant Professor, Department of
Physics, IISER, Trivandrum
2008 Gnanasekaran G Prof. M. Daniel Retired from Professor from Nehru
Memorical College, Puthanampatti
2009
Vasumathi V Prof. M. Daniel Assistant Professor, Department of
Physics, Holy Cross College, Trichy
Chandrasekar V.K Prof. M. Lakshmanan Senior Assistant Professor, Sastra
University, Thanjavur
2010 Beula, J Prof. M. Daniel Retired from Women's Christian
College, Nagerocoil
2011
Rajendran S Prof. M. Lakshmanan Assistant Professor, Department of
Physics, T.B.M.L. College, Porayar
Gladwin Pradeep R Prof. M. Lakshmanan Assistant Professor, KCG College of
Sabareesan B Prof. M. Daniel Associate Professor, Sastra
University, Thanjavur
Vijajayanthi M Prof. M. Lakshmanan DST Young Scientist Fellow, B.S.
Abdur Rahman University, Chennai
2014
Suresh R Prof. M. Lakshmanan Assistant Professor, Sastra
University, Thanjavur
Vanitha M Prof. M. Daniel
Research Staff, Nanyang
Technological University, Singapore
Chithika Ruby V Dr. M. Senthilvelan
Research Associate, Department of
Nonlinear Dynamics, Bharathidasan
University, Tiruchirapalli
2015
Swathy P.S. Prof. K. Thamilmaran Assistant Professor, SNS college of
Technology, Coimbatore
R. Jothimurugan Prof. K. Thamilmaran
Assistant Professor, P.SNA College
of Engineering Technology,
Dindugul
2016
Durgadevi R Prof. M. Lakshmanan Assistant Professor, Department of
Physics, Sastra University, Thanjavur
Vishnupriya N. Dr. M. Senthilvelan Kothari Fellow, Indian Institute of
Science, Bangalore
Ananth N Dr. M. Senthilvelan
Assistant Professor, Department of
Physics, Bishop Heber College,
Tiruchirapalli
Subash B Prof. M. Lakshmanan King Abdullah University of Science
& Technology, Saud Arabia
Suresh K Prof. K. Thamilmaran
National Post doctoral Fellow,
Jawaharl Nehru University, New
Delhi
Arulgnanam A Prof. K. Thamilmaran Associate Professor, St. John’s
College, Palayankottai, Tirunelveli
Mohanasubha R Dr. M. Senthilvelan Kothari Fellow, Anna University,
Chennai
Sabarathinam S Prof. K. Thamilmaran
National Post doctoral Fellow,
Jawaharl Nehru University, New
Delhi
2017
Arun R Prof. M. Daniel
Research Associate, Department of
Nonlinear Dynamics, Bharathidasan
University, Tiruchirapal
Aravinthan D Prof. M. Daniel
Assistant Professor, Department of
Physics, Central University of
Tiruvarur, Tiruvarur
Manikandan K Dr. M. Senthilvelan
National Post Doctoral Fellow,
National Institute of Technology,
Trichy
Ishaq Ahamed A Prof. M. Lakshmanan
Associate Professor, Department of
Physics, Jamal Mohamed College,
Trichy
2018 Premalatha K Dr. M. Senthilvelan
Assistant Professor, Department of
Physics, P.S.G. College of Arts &
Science, Coimbatore
2019 Premraj D Prof. K. Thamilmaran Viva-Voce exam completed on 21-
01-2019
High Performance Computing and Network Facilities
The department has advanced computing laboratory with UNIX based cluster, servers,
workstations and personal computers with network. The laboratory is widely used by the faculty
members, research students and post-graduate students for their research, project work and
computational experiments.
S. No Name of the equipment Cost
1. 32 – Node Computer Cluster INR 1,00,00,000
2. 6 – Node Computer Cluster INR 10,00,000
3. Silicon Graphics Fuel Workstation US$ 14,100
4. Intel Xenon Servers and Personal Computers INR 10,00,000
5. HP 33120 A, 15 MHz Function Generator with option
106 Benchlink
INR 2,40,000
6. Dual Trace Storage Oscilloscope INR 2,00,000
7. 15 MHz Function and wave form generator US$ 3,027
8. Programmable Current Source US$ 4,405
9. Sun Fire Server : Model V 880 US$ 30,000
10. LCR Meter (100 Hz-5Mhz) INR 2,50,000
11. Mixes Signal Oscillascope INR 7,96,000
12. 15MHz Arbitrary Waveform Generator INR 2,90,000
13. Programmable Power Supply INR 1,24,000
14. Pspice Software INR 1,75,000
15. Agilent Data Acquisition INR 1,96,000
Facilities
32 Node Cluster 6 Node Cluster
Chiller
High Performance Computing Lab
High Performing Cluster Nodes
The nonlinear electronics laboratory has facilities to carry out experimental studies in research
areas such chaos, chaos synchronization and investing new electronic circuits besides to carry
practicals at advanced graduate level.
The following are some of the major equipments available in the nonlinear electronics laboratory.
Digital Storage Oscilloscopes (4 channel and 2 channel)
Arbitrary waveform generator
Analog to Digital converter
E3631A Programmable DC power supply
Arbitrary waveforms generator (33250A 80 MHz)
Mixed Signal Oscilloscope DSO 5014A
LCR Resistance meters (E4980A & 4263B)
Spectrum analyzer (N9320A)
D/A converter (U2351A data acquisition card): PC to circuits
OrCAD Pspice.
Nonlinear Electronics Lab
The Department has a world class library which is specially supported by the National Board for
Higher Mathematics (NBHM) of DAE and Bharathidasan University. It has a very good collection
of books required for research in nonlinear dynamics in the department. At present nearly 2600
books on nonlinear dynamics are available in the library. There is an online catalogue system
available in the library for easy access to the books. The above special grant also supports
subscription of nearly 30 international journals in the area of nonlinear dynamics. It is also has a
collection of a good number of back volumes of several journals in nonlinear dynamics (some of
them are in full collection). Also faculty members and Research students have access to many
electronic journals.
Library Facilities
Our Students with Foreign and Indian Experts
Our students during conference at IIT- Guwahati
Special CSIR-UGC NET classes for M.Sc., Students by Prof. S. V. N. Sathyanarayana of
Pondicherry University
The Department of Nonlinear Dynamics faculties are jointly teaching for M.Sc., and M.Phil.,
courses with Department of Physics. As the department have own Projectors, Laptop with internet facilities, we have used the
Computer based Teaching and Learning methods. To enhance students understanding on several theoretical topics, we have prepared our own
module by using power point and Mathematica.
All our Ph.D. scholars are much sought after by leading research groups and academic institutions
all around the world. Many of them have obtained post-doctoral and research/staff positions in
Germany, France, Italy, Japan, U.S.A. and Australia as well as in leading universities and colleges
in Tamilnadu and in other parts of the country.
Dr. K. Porsezian, Dr. K. Ganesan, Dr. K. Murali, Dr. M. Senthilvelan, Dr. S.Parthasarathy, Dr. S.
Selvaraj, Dr. P. Muruganandam and Dr. V. Veerakumar were awarded prestigious postdoctoral
research positions in well known universities/institutes in Brazil, England, France, Germany,
Ireland, Italy, Japan, Taiwan and U.S.A. Dr. D. V. Senthilkumar has been awarded Alexander von
Humboldt Foundation Fellowship for postdoctoral research in Germany recently.
Distinguished Alumni
Departmental Activities
Innovative Teaching
Our former research students have been employed at various levels, in Institute, in universities
including Bharathidasan University, University of Madras, Pondicherry University and Anna
University (Chennai). These include Dr. D. V. Senthilkumar (IISER, Thiruvanandhapuram), Dr. S.
Rajasekar (Professor, Bharathidasan University), Dr. K. M. Thamizhmani (Professor, Pondicherry
University), Dr. K. Porsezian (Professor, Pondicherry University), Dr. R. Sahadevan (Professor,
University of Madras), Dr. K. Murali (Associate Professor, Anna University, Chennai), Dr. M.
Senthilvelan (Associate Professor, Bharathidasan University), Dr. P. Muruganandam (Associate
Professor, Bharathidasan University) and Dr. L. Kavitha (Assistant Professor, Periyar University).
A large number of scholars have been absorbed into the Tamilnadu state services. The list includes
Dr. R. Radha, Dr. R. Amuda, Dr. R. Radhakrishnan, Dr. A. Venkatesan, Dr. N. Athavan, Dr. S.
Vijayalakshmi, Dr. T. Kanna and Dr.P.Palaniyandi.
-----------------------------------------------------------------------------------------------------------------------
Name Professor and Head
Department of Nonlinear Dynamics
Bharathidasan University
Tiruchirappalli - 620 024
Tamil Nadu, India
Tel: +91 431 - 2407093
Fax:+91 431- 2407093
E-Mail: [email protected]
Web: www.bdu.ac.in
mailto:[email protected]:[email protected]://www.bdu.ac.in/
S.
No
Principal
Investigator Project Title
Period Fundin
g
Agency
Amou
nt
₹ (in
lakhs)
From To
1. Prof. M. Lakshmanan Moving curves and surfaces in
potential fields: Geometrical
connections to spin systems and
soliton equations
2015 2018 DAE 12
2. Prof. K. Thamilmaran Dynamics of memristor based
coupled chaotic circuits
2013 2017 DST-
SERB
32.04
3. Dr. M. Senthilvelan Multi-Rogue wave solutions of
certain coupled nonlinear
Schrödinger equations.
2013 2016 NBHM 9.67
4. Dr. M. Senthilvelan Classical and quantum dynamics
of certain PT symmetric
(reversible) Lienard type
nonlinear oscillator
2013 2016 DST-
SERB
19.35
5. Prof. K. Thamilmaran Experimental Students on the
Dynamical of Coupled Nonlinear
Electronic Oscillators
2011 2014 DST-
SERB
7.6
6. Prof. M. Lakshmanan DST Ramanna Fellowship
project
2011 2014 DST 33
7. Dr. M. Senthilvelan On the dynamics of certain two
component Generalization of
Camassa - Holm and Degasperis
– Processi equations
2010 2013 UGC 8.29
8. Dr. M. Senthilvelan Applied Nonlinear Physics: Indo-
Brazil Joint Research Project
2009 2012 DST 12.22
9. Prof. M. Lakshmanan Establishment of a Nonlinear
Dynamics Unit – Phase III
2008 2015 DST 284.00
10. Dr. M. Senthilvelan On the invariance, linearization
and integrability of certain
nonlinear dynamical systems
2008 2011 DST 10.39
Research Projects – Appendix I
S.
No
Principal
Investigator Project Title
Period
Funding
Agency
Amoun
t
₹ (in
lakhs)
From To
11. Dr. M. Senthilvelan A New approach to integrability of a class of nonlinear ordinary and partial differential equations
2007 2011 NBHM 6.32
12.
Prof. M. Lakshmanan DST Ramanna Fellowship Grant 2007 2010 DST 40.2
13. Prof. M. Lakshmanan Spatio-temporal Patterns and Localized Structures in Nonlinear
Schrodinger Family of Equations in (2+1) Dimensions
2004 2007 DAE 13.0
14. Prof. M. Lakshmanan Establishment of a Nonlinear Dynamics Unit – Phase II
2002 2007 DST 100.12
15. Prof. M. Lakshmanan Integrability and Nonintegrability of Nonlinear
Differential Equations: Role
of Symmetries and Singularity Structures
2001 2004 DAE 7.2
16. Prof. M. Lakshmanan Optical Soliton Interactions in Birefringent Fibers
2002 2005 CSIR 12.0
17. Prof. M. Lakshmanan Nonlinear Differential Equations of Diffusive Type: Spatio
Temporal Patterns Bifurcation and Chaos
1998 2001 DAE 5.0
18. Prof. M. Lakshmanan Establishment of a Nonlinear Dynamics Unit
1995 2002 DST 83.0
19. Prof. M. Lakshmanan Symmetry, Singularity Structure and Bifurcation Aspects of
Certain Nonlinear Differential Equations
1994 1997 DAE 2.0
20. Prof. M. Lakshmanan Nonlinear Dynamics of Magnetic Systems: Coherent and Chaotic Stuctures
1990 1995 DST 6.25
21. Prof. M. Lakshmanan Classical and Quantum chaos in Rydberg Atoms in External Field
1900 1994 CSIR 4.0
Ongoing Projects
S.
No.
Principal
Investigator
Project Title Period Funding
Agency
Amount
₹ (in
lakhs) From To
1. Dr. M. Senthilvelan Nonstandard
Bilinearization and
PT-invariant
Localized Solution of
Certain PT-invariant
Nonlocal Nonlinear
Schrödinger
Equation
2018 2021 NBHM 13.73
2. Prof. M. Lakshmanan DST-SERB
Distinguished
Fellowship Project
2018 2023 DST 125
3. Dr. M. Senthilvelan Exploring the
dynamics, control
mechanisms and
novel structures in
certain PT symmetric
systems
2017 2020 DST-SERB 18.85
4. Dr. M. Senthilvelan Collective
Dynamical states of
coupled Nonlinear
Oscillators
2017 2020 CSIR 7.51 (2 years
Grant)
5. Prof. M. Lakshmanan Collective
Dynamical
Structures in
Coupled Nonlinear
Oscillators
2016 2019 DST 29
6. Prof. M. Lakshmanan Nonlinear Dynamics
of Spin Transfer
Nano Oscillators
(STNOs)
2015 2019 CSIR 15
7. Prof. M. Lakshmanan
Library Grant to the
Centre for Nonlinear Dynamics
From the year 1990
onwards.
Annual Grant
DAE
(NBHM)
4.30
Per year
Appendix II
List of Research Publications since 2013-14
1. S Stalin, R Ramakrishnan, M Senthilvelan, M Lakshmanan, Nondegenerate solitons in
Manakov system, Phys. Rev. Lett. (2018) To Appear.
2. A Govindarajan, Amarendra K Sarma, M Lakshmanan, Tailoring PT -symmetric soliton
switch, Accepted Optics Letters (2018) To Appear.
3. S. Stalin, M. Senthilvelan and M. Lakshmanan, “Energy Sharing Collisions and the Dynamics
of Degenerate Solitons in the nonlocal Manakov System”, Nonlinear Dyn. (2018) To appear
4. S. Stalin, M. Senthilvelan and M. Lakshmanan, Degenerate soliton solutions and their
dynamics in the nonlocal Manakov system: I Symmetry preserving and symmetry breaking
solutions, Nonlinear Dyn. 95, 343 (2019).
5. N. Vishnu Priya, G.Rangarajan, M. Lakshmanan and M.Senthilvelan, On Symmetry
Preserving and Symmetry Broken Bright, Dark and Antidark Soliton Solutions of Nonlocal
Nonlinear Schrodinger Equation, Phys Letts. A 383, 15 (2019).
6. K. Manikandan, S. Stalin and M. Senthilvelan, Dynamical behaviour of solitons in a PT-
invariant nonlocal nonlinear Schrodinger equation with distributed coefficients, Eur. Phys. J. B
91, 291 (2018).
7. K. Manikandan, N. Vishnu Priya, M. Senthilvelan and R. Sankaranarayanan, Deformation of
dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrodinger equation,
Chaos 28, 083103 (2018).
8. S.Kartiga, V. Chithiika Ruby and M.Senthilvelan, An inclusive SUSY approach to position
dependent mass systems, Phys Letts. A 381 (2018).
9. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Stable amplitude
chimera states in a network of locally coupled Stuart-Landau oscillators, Chaos 28, 033110
(2018)
10. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the
interconnections between various analytic approaches in coupled first-order nonlinear
differential equations, Comm. Nonlinear Sci. and Num. Sim 62 213 (2018).
11. R. Mohanasubha, V. K. Chandrasekar and M. Senthilvelan, A note on deriving linearizing
transformations for a class of second order nonlinear ordinary differential equations, Nonlinear
Analysis Real World Appli. 39, 202 (2018).
12. K Ponrasu, K Sathiyadevi, V K Chandrasekar, M Lakshmanan, Conjugate coupling-induced
symmetry breaking and quenched oscillations, Europhys. Lett.,124, 20007 (2018).
2018
Total Publication – 408
(From Inception)
h-Index - 43
Sum of Times Cited - 7212
13. K Sathiyadevi, VK Chandrasekar, DV Senthilkumar, M Lakshmanan, Imperfect amplitude
mediated chimera states in a nonlocally coupled network, Frontiers in Applied Mathematics
and Statistics 4, 58 (2018).
14. M. Vijayajayanthi, T. Kanna, K. Murali and M.Lakshmanan, Harnessing energy sharing
collisions of Manakov solitons to implement universal NOR and OR gates, Phys. Rev. E, 97,
060201(R) (2018).
15. M. Sathish Aravindh, A. Venkatesan and M. Lakshmanan, Strange nonchaotic attractor for
computation, Phys. Rev. E, 97, 052212 (2018).
16. M. Lakshmanan and Avadh Saxena, Exact intrinsic localized excitation of an anisotropic
ferromagnetic spin chain in external magnetic field with Gilbert damping, spin current and PT
symmetry, Physics Letters A 382, 1890-1895 (2018).
17. S. Dutta, M. Lakshmanan and S. Chakaraborthy, Non-minimally coupled scalar field in
Kantowski-Sachs model and symmetry analysis, Annals of Physics, 393, 254-263(2018).
18. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the
interconnections between various analytic approaches in coupled first-order nonlinear
differential equations,Communications in Nonlinear Science and Numerical Simulation, 62,
213-228 (2018).
19. K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan, Lie
symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation, Applied
Mathematics and Computation 331, 457-472(2018).
20. K. Sathyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan,
Distinct collective states due to trade-off between attractive and repulsive couplings, Phys.
Rev. E97, 032207(12 pages) (2018).
21. S.Kundu, S. Majhi, B. K. Bera, D. Ghosh and M. Lakshmanan, Chimera states in two-
dimensional networks of locally coupled oscillators, Phys. Rev. E97, 022201(12 pages)(2018).
22. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan and M. Lakshmanan, of an
ensemble of identical nonlinear oscillators, Communications in Nonlinear Science and
Numerical Simulation, 59, 30-46 (2018)
23. S. Sabarathinam, K. Thamilmaran, Controlling of chaos in a tumor growth cancer model: An
experimental study, Electronics Letters (2018).
24. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Bifurcation delay in a network of
locally coupled slow-fast systems, Physical Review E, 98, 022206 (2018).
25. P. Megavarna Ezhilarasu, M. Inbavalli, K. Murali, K. Thamilmaran, Strange non-chaotic
attractors in a state controlled-cellular neural network-based quasiperiodically forced MLC
circuit, Pramana, 91, 4 (2018).
26. V. Vaibhav, S. Sabarathinam, A. Prasad, K. Thamilmaran, Infinite number of hidden attractors
in memristor-based autonomous duffing oscillator, International Journal of Bifurcation and
Chaos, 28, 1850013 (2018).
27. J. Palanivel, K. Suresh, D. Premraj, K. Thamilmaran, Effect of fractional-order, time-delay
and noisy parameter on slow-passage phenomenon in a nonlinear oscillator, Chaos, Solitons &
Fractals, 106, 35-43 (2018).
28. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On the
symmetries of a Lienard type nonlinear oscillator, in Symmetries, Differential Equations and
Applications 75-103, Springer, Cham (2018)
29. S. Stalin, M. Senthilvelan and M. Lakshmanan, Nonstandard bilinearization of PT-invariant
nonlocal nonlinear Schrödinger equation: Bright soliton solutions, Phys Letts. A 381 2380,
(2017).
30. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Controlling of blow-
up responses by a nonlinear PT symmetric coupling, Phys. Rev. A 95 033829 (2017)
31. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Chimera like states in
two distinct groups of identical populations of coupled Stuart-Landau oscillators, Phys. Rev. E
95, 022208 (2017).
32. R. Mohanasubha and M. Senthilvelan, On the symmetries of a nonlinear oscillator, Comm.
Nonlinear Sci. and Num. Sim 43, 111 (2017).
33. S. Karthiga, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Systems that become
PT symmetric through interactions, Phys. Rev. A 94, 023829 (2016).
34. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Imperfect
Synchronized states and chimera states in two interacting populations of nonlocally coupled
Stuart-Landau oscillators, Phys. Rev. E, 94, 012311 (2016).
35. S. Karthiga, V. Chithiika Ruby, M.Senthilvelan and M. Lakshmanan, Quantum Solvability of
a general ordered position dependent mass system: Mathews-Lakhsmanan oscillator, J. Math.
Phys. 58, 102110, (2017).
36. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Implementation of dynamical dual input
multiple output logic gate via resonance in globally coupled Duffing oscillators, Chaos 27,
083106, (10 pages)(2017).
37. A. Ishaq Ahamed and M. Lakshmanan, Discontinuity induced Hopf and Neimarck - Sacker
bifurcation in a memristive Murali Lakshmanan Chua circuit, Int. J. Bifurcation and Choas,
27, 1730021 (21 pages), (2017).
38. K. Sathiyadevi, S. Karthiga, V. K. Chandrasekar, D. V. Senthilkumar and M. Lakshmanan,
Spontaneous symmetry breaking due to the trade-off between attractive and repulsive
couplings , Phys. Rev. E 95, 042301 (2017).
39. P. R. Venkatesh, A. Venkatesh and M. Lakshmanan, Design and Implementation of dynamic
logic gates and R-S flip-flop using quasiperiodically driven Murali-Lakshmanan-Chua circuit,
Chaos, 27, 033105 (10 pages), (2017).
2017
40. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Two
dimensional isochronous nonstandard Hamiltonian systems, Journal of Engineering
Mathematics 104, 63-75(2017).
41. S. Leo Kingston, K. Thamilmaran, Pinaki Pal, Ulrike Feudel, Syamal K Dana, Extreme events
in the forced Liénard system, Physical Review E, 96, 052204 (2017).
42. K. Suresh, J. Palanivel, K. Thamilmaran , Successive torus doubling and birth of strange non-
chaotic attractors in non-linear electronic circuit, Electronics Letters, 53, 1464 (2017).
43. S. Leo Kingston, K. Thamilmaran, Bursting Oscillations and Mixed-Mode Oscillations in
Driven Liénard System, International Journal of Bifurcation and Chaos, 27, 1730025 (2017).
44. R. Rocha, R. Jothimurugan, K. Thamilmaran, Memristive oscillator based on Chua’s circuit:
stability analysis and hidden dynamics, Nonlinear Dynamics, 88, 2577 (2017).
45. D. Premraj, K. Suresh, J. Palanivel, K. Thamilmaran, Dynamic bifurcation and strange
nonchaos in a two-frequency parametrically driven nonlinear oscillator, Communications in
Nonlinear Science and Numerical Simulation, 50, 103 (2017).
46. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, Control ofbifurcation-delay of
slow passage effect by delayed self-feedback, Chaos 26, 083104 (2017).
47. J. Palanivel, K. Suresh, S. Sabarathinam, K. Thamilmaran, Chaos in a low dimensional
fractional order nonautonomous nonlinear oscillator,Chaos, Solitons & Fractals 95, 33 (2017).
48. S. Sabarathinam, K. Thamilmaran, Implementation of analog circuit and study of chaotic
dynamics in a generalized Duffing-type MEMS resonator, Nonlinear Dynamics, 87, 2345
(2017).
49. S. Sabarathinam, Christos K Volos, K. Thamilmaran, Implementation and study of the
nonlinear dynamics of a memristor-based Duffing oscillator, Nonlinear Dynamics, 87, 37
(2017).
50. K. Manikandan and M. Senthilvelan, An analysis of spatiotemporal localized solutions in the
variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different
forms of different dispersion parameters, Chaos 26, 073116 (2016).
51. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of
symmetries and other integrability quantifiers in finite dimensional integrable nonlinear
dynamical systems, Proc. R. Soc. A 472, 20150847 (2016).
52. N. Ananth and M. Senthilvelan, Identifying non-k-separability of a class of N-qubit complete
graph states using correlation tensors, Eur. Phys. J. D 70, 149 (2016).
53. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, On the characterization of vector rogue
waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed
coefficients, Eur. Phys. J. B, 89, 218 (2016).
54. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Different kinds of
chimera death states in nonlocally coupled oscillators, Phys. Rev. E 93, 052213 (2016).
2016
https://scholar.google.co.in/scholar?oi=bibs&cluster=14170695521537819303&btnI=1&hl=enhttps://scholar.google.co.in/scholar?oi=bibs&cluster=14170695521537819303&btnI=1&hl=en
55. Ajey K. Tiwari, S. N. Pandey,V. K. Chandrasekar, M. Senthilvelanand M. Lakshmanan, The
inverse problem of a mixed Li\'enard type nonlinear oscillator equation from symmetry
perspective, Acta Mechanica 227, 2039 (2016).
56. K. Manikandan, P. Muruganandam, M. Senthilvelan and M. Lakshmanan, Manipulating
localized matter waves in multi-component Bose-Einstein condensates, Phys. Rev. E 93,
032212 (2016).
57. N. Vishnu Priya and M. Senthilvelan, N- bright - bright and N- dark – dark solitons of the
coupled generalized nonlinear Schrödinger equations, Comm. Nonlinear Sci. and Num. Sim.,
36, 366-377 (2016).
58. K. Manikandan, M. Senthilvelan and R. A. Kraenkel, Amplification of matter rogue waves
and breathers in quasi-two-dimensional Bose-Einstein condensates, Eur. Phys. J. B, 89, 30
(2016)
59. N. Ananth and M. Senthilvelan, On the non-k-separability of Dicke class of states and N-qudit
W states, Int. J. Theor. Phys 55, 1854-1870 (2016)
60. S.Karthiga, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Twofold-PT symmetry
in nonlinearly damped dynamical systems and tailoring PT regions with position dependent
loss-gain profiles, Phys. Rev. A 93, 012102 (2016).
61. R. Gladwin Pradeep, V. K. Chandrasekar, R. Mohanasubha, M. Senthilvelan and M.
Lakshmanan, Order preserving contact transformations and dynamical symmetries of scalar
and coupled Riccati and Abel chains, Communications in Nonlinear Science and Numerical
Simulation 36, 303 (2016)
62. R. Suresh, D. V. Senthilkumar, M.Lakshmanan and J. Kurths, Emergence of a common
generalized synchronization manifold in network motifs of structurally different time-delay
systems,Chaos, Solitons and Fractals, 93, 235-245 (2016).
63. Debaldev Jana, R.Gopal and M. Lakshmanan, Complex dynamics generated by negative and
positive feedback delays of a prey-predator system with prey refuge: Hopf bifurcation to
Chaos, International Journal of Dynamics and Control, 5,1-15 (2016).
64. S. Dutta, M. Lakshmanan and S. Chakraborty, Quintom cosmological model and some
possible solutions using Lie and Noether symmetries, Int. Journal of Modern Physics D15,
1650110 (2016)(17pages).
65. V. K. Chandrasekar, R. Gopal, D. V.Senthilkumar and M. Lakshmanan, Phase-flip chimera
induced by environmental non-local coupling, Phys. Rev. E, 94, 012208 (2016).
66. M. Vijayajayanthi, T. Kanna, M. Lakshmanan, and K. Murali and M. Lakshmanan, Explicit
construction of single input-single output logic gates from three soliton solution of Manakov
system, Communications in Nonlinear Science and Numerical Simulation 36,391 (2016).
67. K. Srinivasan, V.K Chandrasekar , R. Gladwin Pradeep, K. Murali and M. Lakshmanan,
Different Types of Synchronization in Coupled Network Based Chaotic Circuits,
Communications in Nonlinear Science and Numerical Simulation 39,156, (2016).
68. P. R. Venkatesh, A. Venkatesan and M. Lakshmanan, Analytical treatment for synchronizing
chaos through Unidirectional coupling and Implementation of logic gates, Pramana 86,1195,
(2016).
69. K. Suresh, S. Sabarathinam, K. Thamilmaran, Jürgen Kurths, Syamal K. Dana, A common lag
scenario in quenching of oscillation in coupled oscillators, Chaos 26, 083104 (2016).
70. D. V. Senthilkumar, K. Suresh, V. K. Chandrasekar, Wei Zou, Syamal K. Dana, K.
Thamilmaran , Jürgen Kurths, Experimental demonstration of revival of oscillations from
death in coupled nonlinear oscillators, Chaos 26, 043112 (2016).
71. P. R. Sharma, N. K. Kamal, U. K. Verma, K. Suresh, K. Thamilmaran, M D Shrimali,
Suppression and revival of oscillation in indirectly coupled limit cycle oscillators, Physics
Letters A 380, 3178 (2016).
72. A. Jeevarekha, S. Sabarathinam, K. Thamilmaran, P. Philominathan, Analysis of 4D
autonomous system with volume-expanding phase space, Nonlinear Dynamics 84, 2273
(2016).
73. R. Jothimurugan, K. Thamilmaran, S. Rajasekar, MAF Sanjuán, Multiple resonance and anti-
resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2016).
74. D. Premraj, K. Suresh, Tanmoy Banerjee, K. Thamilmaran, An experimental study of slow
passage through Hopf and pitchfork bifurcations in a parametrically driven nonlinear
oscillator, Communications in Nonlinear Science and Numerical Simulation, 37, 212 (2016).
75. Ajey K. Tiwari, S. N. Pandey, M. Senthilvelan and M. Lakshmanan, Lie point symmetries
classification of the mixed Lienard type equation, Nonlinear Dynamics 82, 1953 (2015)
76. K. Premalatha, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Impact of symmetry
breaking in networks of globally coupled oscillators, Phys. Rev. E 91, 052915 (2015).
77. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interconnections
between various analytic approachs applicable to third order nonlinear differential equations,
Proc. Roy. Soc. Lond. Series 471: 20140720 (2015)
78. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, On the separability condition for
bipartite states with certain non-Hermitian operators, Int. J. Theor. Phys. 54, 2632 (2015).
79. N. Ananth, V. K. Chandrasekar and M. Senthilvelan, Criteria for non-k-separability in n-
partite quantum states, Eur. Phys. J. D 69, 56 (2015).
80. V. Chithiika Ruby, V.K.Chandrasekar, M.Senthilvelan and M. Lakshmanan, Removal of
ordering ambiguity for a class of position dependent mass quantum systems with an
application to the quadratic Lienard type nonlinear oscillators, J. Math. Phys. 56, 012103
(2015)
81. N. Vishnu Priya and M.Senthilvelan, On the characterization of breather and rogue wave
solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations,
Wave Motion 54 125 (2015)
82. N. Vishnu Priya and M.Senthilvelan, Generalized Darboux Transformations and N-th order
rogue wave solutions of general coupled nonlinear Schrödinger equations, Comm. Nonlinear
Sci. and Num. Sim., 20, 401-420 (2015).
2015
83. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Breathers and rogue waves:
Demonstration with coupled nonlinear Schrödinger family of equations Pramana 84, 339
(2015)
84. M. Senthilvelan, V. K. Chandrasekar and R. Mohanasubha, Symmetries of ordinary
differential equations: the modified Emden equation as study case, Pramana 85, 755 (2015).
85. Bidesh K. Bera, Dibakar Ghosh, M. Lakshmanan, Chimera states in bursting neurons, Phys.
Rev E 93, 012205 (2015).
86. V. K. Chandrasekar, R. Suresh D.V. Senthilkumar and M. Lakshmanan, Emergence of
coexisting coherence and incoherence by an external forcing, Euro.Phys Letters111 6008
(2015).
87. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable (2+1)-
dimensional spin models with self consistent potentials, Symmetry 7(3), 1352-75 (2015)
88. R. Gopal, V. K. Chandrasekar, D. V. Senthilkumar, A. Venkatesan, and M. Lakshmanan,
Effect of asymmetry parameter on the dynamical states of nonlocally coupled nonlinear
oscillators, Phys. Rev. E 91,062916 (2015).
89. V. K. Chandrasekar, S. Karthika and M. Lakshmanan, Feedback as a mechanism for the
resurrection of oscillations from death state, Phys. Rev. E 92,012903 (2015).
90. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Nonlinear Dynamics of Spin Transfer Nano
Oscillators, Pramana 84, 473 (2015).
91. T. Kanna, K. Sakkaravarthi, M. Vijayajayanthi and M. Lakshmanan, Dynamics of solitons in
multicomponent long waveshort wave resonance interaction system, Pramana 84, 327 (2015).
92. Ajey K. Tiwari, S. N. Pandey, V. K. Chandrasekar and M. Lakshmanan, Factorization
technique and isochronous condition for coupled quadratic and mixed Liénard-type nonlinear
systems, Applied Mathematics and Computation, 252, 457-472 (2015).
93. B. Subash, V. K. Chandrasekar, M. Lakshmanan, Enhanced synchronization in an array of
spin torque nano oscillators in the presence of oscillating external magnetic field, Europhys.
Lett 109, 17009 (2015).
94. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA
in a quasiperiodically forced electronic circuit with experimental and analytical confirmation,
Chaos, Solitons & Fractals, 75, 96 (2015).
95. R. Jothimurugan, K. Thamilmaran,S. Rajasekar and M. A. F. Sanjuán, Multiple resonance and
anti-resonance in coupled Duffing oscillators, Nonlinear Dynamics 83, 1803 (2015).
96. A. Arulgnanam, K. Thamilmaran, M. Daniel, A Rich Spectrum of Dynamical Phenomenon in
a Forced Parallel LCR Circuit with a Simple Nonlinear Element, Chinese Journal of Physics
53, 22 (2015).
97. S. Sabarathinam, K. Thamilmaran, Transient chaos in a globally coupled system of nearly
conservative Hamiltonian Duffing oscillators, Chaos, Solitons & Fractals, 73, 129 (2015).
98. A. Arulgnanam, A. Prasad, K. Thamilmaran, M. Daniel, Multilayered bubbling route to SNA
in a quasiperiodically forced electronic circuit with a simple nonlinear element, International
Journal of Dynamics and Control, 1 (2015).
99. D. Giridharan, P. Sabareesan and M. Daniel, Current induced magnetization dynamic in one
dimensional magnonic crystal, IEEE Transaction on Magnetics, 51, 1301007 (2015).
100. D. Aravinthan, P. Sabareesan and M. Daniel, Current induced magnetization switching in
Co/Cu/Ni-Fe nanopillar with orange peel coupling, AIP Advances, 5, 077166 (2015).
101. R. Arun, P. Sabareesan and M. Daniel, Impact of current on static and kinetic depinning fields
of domain wall in ferromagnetic nanostrip, Pramana-Journal of Physics, 85, 947 (2015).
102. K. Manikandan, P.Muruganandam, M.Senthilvelan and M. Lakshmanan, Manipulating matter-
rogue waves and breathers in Bose-Einstein condensates Phys. Rev. E 90, 062905 (2014)
103. N. Vishnu Priya and M.Senthilvelan, Higher order rogue wave solutions of general coupled
nonlinear Schrödinger equations, Physica Scripta . 90 025203 (2014)
104. V. Chithiika Ruby and M.Senthilvelan, Photon modulated coherent states of a generalized
isotonic oscillator by Weyl ordering and their non-classical properties, Int. J. Theor. Phys. 53
4338-4350 (2014).
105. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Dark solitons, Breathers and Rogue
Wave Solutions of the Coupled Generalized Nonlinear Schrödinger Equations, Phys. Rev. E
89 062901 (2014).
106. P. R. Gordoa, A. Pickering and M. Senthilvelan, The Prelle-Singer method and Painleve
hierarchies, J. Math. Phys., 54 053510 (2014)
107. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, Interplay of
symmetries, null forms, Darboux polynomials, integrating factors and Jacobi multipliers in
integrable second order differential equations, Proc. Roy. Soc. Lond.. Series A 470, 20130656
(2014).
108. V. Chithiika Ruby, P.Muruganandam and M.Senthilvelan, Nonlinear time evolution of
coherent states with observation of super revivals in a generalized isotonic oscillator, Int. J.
Geometric Meth. Mod. Phys. 11 1450027 (2014).
109. R. Mohanasubha, M.I. Sabiya Shakila and M. Senthilvelan, On the linearization of
isochronous centre of a modified Emden equation with linear external forcing,
Communications in Nonlinear Science and Numerical Simulation 19 799-806 (2014)
110. V. K. Chandrasekar, R.Gopal, A. Venkatesan and M. Lakshmanan, Mechanism for intensity
induced chimera states in globally coupled oscillators Phys.Rev. E 90, 062913 (2014).
111. K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi and M. Lakshmanan Multicomponent long-
wave short-wave resonance interaction system: Bright solitons, energy sharing collisions and
resonant solitons, Phys. Rev . E 90, 052912 (2014)
112. T. Kanna, M. Vijayajayanthi, and M. Lakshmanan, Mixed solitons in (2 + 1) dimensional
multicomponent long wave-short wave system, Phys. Rev. E 90, 042901 (2014).
2014
113. S. Balakrishnan and M. Lakshmanan, Chaining property for two-qubit operator entanglement
measures, The European Physical Journal Plus 129, 231 (2014).
114. R. Myrzakulov, G.K. Mamyrbekova, G.N. Nugmanova and M. Lakshmanan, Integrable
motion of curves in self-consistent potentials: Relation to spin systems and soliton
equationsIntegrable (2+1)-dimensional spin models with self consistent potentials, Physics
Letters A 378, 2118 (2014)
115. R. Gopal, V. K. Chandrasekar, A. Venkatesan and M. Lakshmanan, Observation and
characterization of chimera states in coupled dynamical systems with nonlocal coupling, Phys.
Rev. E 89, 052914 (2014) .
116. R. Suresh, K. Srinivasan, D. V. Senthilkumar, K.Murali, M. Lakshmanan and J. Kurths,
Dynamic environment coupling induced synchronized states in coupled time-delayed
electronic circuits Int. J. Bifurcation Chaos 24, 1450067 (2014).
117. M. Lakshmanan, B. Subash, and Avadh Saxena, Intrinsic Localized Models of a Discrete
Anisotropic Heisenberg Ferromagetic Spin Chain, Physics Letters A, 378, 1119-1125 (2014)
118. P. S. Swathy, K. Thamilmaran, Hyperchaos in SC-CNN based modified canonical Chua’s
circuit, Nonlinear Dynamics, 78, 2639 (2014).
119. P. S. Swathy, S. Sabarathinam, K. Suresh, K. Thamilmaran, Chaos synchronization and
transmission of information in coupled SC-CNN-based canonical Chua’s circuit, Nonlinear
Dynamics, 78, 1033 (2014).
120. K. Suresh, MD. Shrimali, A. Prasad, K. Thamilmaran, Experimental evidence for amplitude
death induced by a time-varying interaction, Physics Letters A, 378, 2845 (2014).
121. R. Jothimurugan, K. Suresh, P. Megavarna Ezhilarasu and K. Thamilmaran, Improved
realization of Canonical Chua’s Circuit using current feedback operational amplifier, AEU-
International Journal of Electronics and Communications, 68, 413 (2014).
122. A. Sharma, K. Suresh, K. Thamilmaran, A. Prasad, MD. Shrimali, Effect of parameter
mismatch and time delay interaction on density-induced amplitude death in coupled nonlinear
oscillators, Nonlinear Dynamics, 76, 1797 (2014.)
123. P. S. Swathy. K. Thamilmaran, (2014), SC-CNN based variant MLC circuit: Anexperimental
study, International Journal of Bifurcation and Chaos, 24, 1430008 (2014).
124. R. Mohanasubha, J.H.Sheeba, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, A
nonlocal connection between certain linear and nonlinear ordinary differential equations - Part
II: Complex nonlinear oscillators, Applied Mathematics and Computation 224 593-602 (2013)
125. N. Vishnu Priya, M.Senthilvelan and M. Lakshmanan, Akhmediev breathers, Ma solitons and
general breathers from rogue waves: A case study in Manakov system, Phys. Rev. E 88
022918 (2013)
126. Ajey K. Tiwari, S. N. Pandey,M. Senthilvelan and M. Lakshmanan, Classification of Lie point
symmetries for quadratic Lienard type equation �̈�+f(𝑥)�̇�2+g(𝑥) = 0, J. Math. Phys., 54,
053506 (2013); Erratum J. Math. Phys., 55, 059901 (2014)
127. R. A. Kraenkel, K. Manikandan and M. Senthilvelan, On certain new exact solutions of a
diffusive Predator-Prey system, Comm. Nonlinear Sci. and Num. Sim., 18, 1269 (2013)
128. V. Chithiika Ruby, S. Karthiga and M.Senthilvelan, Ladder operators and squeezed coherent
states of a 3-dimensional generalized isotonic nonlinear oscillator, J. Phys. A: Math. Theor.
46, 025305 (2013)
129. R. Mohanasubha, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, On certain
analytical methods in finding integrable systems and their interconnections in Nonlinear
Dynamics and its Applications (Ed.) Swapan Kr.Ghosh (Book Centre, Santiniketan, 2013) p.
93-106.
130. B. Subash, V. K. Chandrasekar, Jane. H. Sheeba, M. Lakshmanan and J. Kurths, Adaptive
coupling induced multi-stable states in complex networks, Physica D 267, 36-48 (2013).
131. D. V. Senthilkumar, R. Suresh, M. Lakshmanan and J. Kurths, Global generalized
synchronization in networks of different time-delay systems, Europhys. Lett.103, 50010
(2013).
132. B. Subash, V. K. Chandrasekar and M. Lakshmanan, Synchronization of an array of spin
torque nano oscillators in periodic applied external magnetic field, Europhys. Lett. 102, 17010
(2013).
133. R.Gopal, A.Venkatesan, and M.Lakshmanan, Applicability of 0-1 test for Strange Nonchaotic
Attractors, Chaos 23, 023123 (2013).
134. M. Lakshmanan and V.K. Chandrasekar, Generating finite dimensional nonlinear dynamical
systems, Eur. Phys. J. Special Topics 222, 665 (2013).
135. Ishaq Ahmed and M. Lakshmanan, Nonsmooth bifurcations, Transient Hyperchaos and
hyperchaotic beats in a Memristive Murali-Lakshmanan-Chua Circuit, Int. J Bifurcation
Chaos23, 1350098 (2013).
136. A. Durga Devi, R. Gladwin Pradeep, V. K. Chandrasekar and M. Lakshmanan, Method of
generating N -dimensional isochronous Hamiltonian systems free of instabilities, J. Nonlinear.
Math. Phys 20, 78, (2013)
137. R. Suresh, K. Srinivasan, D. V. Senthilkumar, I. Raja Mohammed, K. Murali, M. Lakshmanan
and J. Kurths, Zero-lag synchronization in coupled time-delayed piecewise linear electronic
circuits, Eur. phys. J. Special Topics 222, 729 (2013).
138. S. Sabarathinam, K. Thamilmaran, L. Borkowski, P. Perlikowski, A. Stefanski and T.
Kapitaniak, Experimental observation of two types of transient chaos in two coupled,
dissipatively perturbed Hamiltonian Duffing oscillators, Communication in nonlinear science
and numerical simulation, 18, 3098 (2013).
139. S. Zdravkovic, M.V. Sataric and M. Daniel, Kink solitons in DNA, Int. J. Mod. Phys. B, 27,
1350184 (2013).
2013
1. Symmetries, Differential Equations and Applications: On the Symmetries of a Linard Type
Nonlinear Oscillator Equation, R Mohanasubha, V. K. Chandrasekar, M Senthilvelan,
M Lakshmanan, 75-103, Springer, Cham (2018). ISBN 978-3-030-01376-9.
2. Matter wave solitons and other localized excitations in Bose-Einstein condensates in atom
optics in Odyssey of Light in Nonlinear Optical Fibers: Theory and Applications, P.
Muruganandam and M. Lakshmanan, Edited by K. Porsezian and R. Ganapathy, CRC Press)
(2015). ISBN 9781138749580
3. Synchronization in coupled nonlinear oscillators: Relevance to neuronal dynamics, Jane H.
Sheeba, V. K. Chandrasekar and M . Lakshmanan, to appear in “Concepts and Methods in
Modern Theoretical Chemistry Volume II Statistical Mechanics”, Taylor and Francis (2013)
ISBN : 9781466506213
4. Nonlinear Dynamics of a Class of Piecewise Linear Systems, M. Lakshmanan and K. Murali,
to appear in “Chaos, CNN, Memristors and Beyond”, World Scientific, (285-306), (2013)
ISBN: 978-981-4434-79-9
5. Dynamics of Nonlinear Time Delay Systems, M. Lakshmanan and D.V. Senthilkumar,
Springer-Verlag (2011) (Series in Synergetics). ISBN: 978-3-642-14938-2
6. Nonlinear Dynamics, M. Daniel and S. Rajasekar, Narosa, New Delhi, (2008) ISBN: 978-81-
7319-941-7.
7. National Conference on Nonlinear Systems and Dynamics-2006 (Proceedings), M.
Lakshmanan and R. Sahadevan (Ed.), Allied Publishers, Chennai (2006) ISBN:81-7764-993-0
8. Nonlinear Dynamics: Integrability, Chaos and Spatio-temporal Patterns, M. Lakshmanan and
S. Rajasekar, Springer-Verlag (Advanced Texts in Physics) (2003). ISBN: 978-3-642-55688-3
9. Nonlinear Systems, R. Sahadevan and M. Lakshmanan (Ed.), Narosa Publishing House, New
Delhi (2002) ISBN: 978-81-7319-456-6.
10. Nonlinear Dynamics: Integrability and Chaos, M. Daniel, K.M. Tamizhmani and R.
Sahadevan (Eds.), Narosa, New Delhi (1999) ISBN: 978-81-7319-326-2.
11. Solitons in Science and Engineering: Theory and Applications, M. Lakshmanan (Ed.) Special
Issue of the Journal “Chaos, Solitons & Fractals” - Pergamon Vol.5, No. 12 pp. 2213-2639
(1995)
12. Chaos in Nonlinear Oscillators: Controlling and Synchronization, M. Lakshmanan and K.
Murali, World Scientific Series on Nonlinear Science, Vol. 13 (World Scientific Singapore
1996) ISBN: 978-981-02-2143-0.
13. Symmetries and Singularity Structures: Integrability and Chaos in Nonlinear Dynamical
Systems, M. Lakshmanan and M.Daniel (Eds.) Springer-Verlag, Berlin (1990) ISBN: 978-
3540530923.
14. Nonlinear Evolution Equations: Integrability and spectral Methods, A. Degasperies, A. P.
Fordy and M. Lakshmanan (Eds.) Proceedings in Nonlinear Science, Manchester University
Press Manchester (1990) ISBN: 978-0719032738.
15. Solitons: Introduction and Applications, M. Lakshmanan (Ed.) Springer series in Nonlinear
Dynamics, Springer-Verlag, Berlin (1988) ISBN: 978-3-642-73193-8.
Books/Books Chapters