Synchronization of chaos for two-dimensional time-delayed chaotic systems with different structures

Sang, Jin-Yu; Wang, Jiao; Li-Juan, Yue

doi:10.7498/aps.59.7618

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2011

2020

Publication Types

Select...

Article1

Other1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Generalized synchronization of two unidirectionally coupled discrete stochastic dynamical systems

袁志玲¹,

徐振源²,

过榴晓³

2011

Chinese Phys. B

View full text Add to dashboard Cite

The existence of two kinds of generalized synchronization manifold in two unidirectionally coupled discrete stochastic dynamical systems is studied in this paper. When the drive system is chaotic and the modified response system collapses to an asymptotically stable equilibrium or asymptotically stable periodic orbit, under certain conditions, the existence of the generalized synchronization can be converted to the problem of a Lipschitz contractive fixed point or Schauder fixed point. Moreover, the exponential attractive property of generalized synchronization manifold is strictly proved. In addition, numerical simulations demonstrate the correctness of the present theory. The physical background and meaning of the results obtained in this paper are also discussed.

show abstract