Title
Adaptive scheme for time-varying anticipating synchronization of certain or uncertain chaotic dynamical systems
Abstract
In this paper, a new type of anticipating synchronization, called time-varying anticipating synchronization, is defined firstly. Then novel adaptive schemes for time-varying anticipating synchronization of certain or uncertain chaotic dynamical systems are designed based on the Lyapunov function and invariance principle. The update gain of coupling strength can be automatically adapted to a suitable strength depending on the initial values and can be properly chosen to adjust the speed of achieving synchronization, so these schemes are analytical and simple to implement in practice. A classical chaotic dynamical system is used to demonstrate the effectiveness of the proposed adaptive schemes with or without parameter uncertainties.
Year
DOI
Venue
2008
10.1016/j.mcm.2007.12.009
Mathematical and Computer Modelling
Keywords
Field
DocType
coupling strength,novel adaptive scheme,new type,uncertain chaotic dynamical system,invariance principle,chaotic systems,proposed adaptive scheme,adaptive scheme,lyapunov function,classical chaotic dynamical system,initial value,suitable strength,time-varying anticipating synchronization
Lyapunov function,Synchronization,Invariance principle,Chaotic dynamical systems,Control theory,Systems design,Coupling strength,Mathematics,Dynamical system,Synchronization of chaos
Journal
Volume
Issue
ISSN
48
7-8
Mathematical and Computer Modelling
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Zhongkui Sun145.99
Wei Xu210241.51
Xiaoli Yang312.42