Complete and generalized synchronization in a class of noise perturbed chaotic systems.
In the paper, in light of the LaSalle-type invariance principle for stochastic differential equations, chaos synchronization is investigated for a class of chaotic systems dissatisfying a globally Lipschitz condition with noise perturbation. Sufficient criteria for both complete synchronization and generalized synchronization are rigorously established and thus successfully applied to realize chaos synchronization in the coupled unified chaotic systems. Furthermore, concrete examples as well as their numerical simulations are provided to illustrate the possible application of the established criteria.
Chen
Zhang
Z
Key Laboratory of Mathematics for Nonlinear Sciences (Fudan University), Ministry of Education, Research Center for Nonlinear Sciences, School of Mathematical Sciences, Fudan University, Shanghai 200433, China.
Lin
Wei
W
Zhou
Jie
J