Chaos: Zero lag synchronisationMathijs Vermeulen & Bart van Lith
/ name of department
ContentsIntroductionLang-Kobayashi equationsZero lag synchronizationBernoulli mapPerturbed Bernoulli mapConclusions
/ name of department
IntroductionPaper: Zero Lag Synchronization of Chaotic Systems with Time Delayed Couplings. Englert et al.Two chaotic semi-conductor lasers are synchronized.Bernoulli map is investigated analytically.Experimental setup used in the paper.
/ name of department
Lang Kobayashi equationsSet of coupled differential equations for that describe the dynamics of a chaotic diode laser.
/ name of department
Experimental data
/ name of department
Bernoulli mapNonlinear because of the modulo.Chaotic for > 1.Solution Lyapunov exponent = 1.5
/ name of department
Zero Lag synchronization
/ name of department
Perturbed Bernoulli mapSmall non-linear perturbation on Bernoulli map.Rounds the saw-tooth edges.Works very well for small .Here = 0.13, = 1.5
/ name of department
Perturbed Bernoulli map = 1.5, = -1.7
/ name of department
ConclusionsSmall perturbations in ZLS are damped if:Coupling time constants are smaller than internal time scales; the coupling time constants are prime numbers;The same mapping is used;Works for small perturbations in the Bernouilli mapping.
/ name of department
