Title
A new approach to generalized chaos synchronization based on the stability of the error system
Abstract
With a chaotic system being divided into linear and nonlinear parts, a new approach is presented to realize generalized chaos synchronization by using feedback control and parameter commutation. Based on a linear transformation, the problem of generalized synchronization (GS) is transformed into the stability problem of the synchronous error system, and an existence condition for GS is derived. Furthermore, the performance of GS can be improved according to the configuration of the GS velocity. Further generalization and appropriation can be acquired without a stability requirement for the chaotic system's linear part. The Lorenz system and a hyperchaotic system axe taken for illustration and verification and the results of the simulation indicate that the method is effective.
Year
DOI
Venue
2008
null
KYBERNETIKA
Keywords
Field
DocType
chaotic system,generalized synchronization (GS),configuration of poles,synchronous velocity
Synchronization,Nonlinear system,Control theory,Nonlinear control,Lorenz system,Linear map,Chaotic,Dynamical system,Mathematics,Synchronization of chaos
Journal
Volume
Issue
ISSN
44
4
0023-5954
Citations 
PageRank 
References 
4
0.41
0
Authors
3
Name
Order
Citations
PageRank
Zhu Zhiliang1113.29
Li Shuping240.41
Yu Hai340.41