Title | ||
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Adaptive scheme for time-varying anticipating synchronization of certain or uncertain chaotic dynamical systems |
Abstract | ||
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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 |
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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 Sun | 1 | 4 | 5.99 |
Wei Xu | 2 | 102 | 41.51 |
Xiaoli Yang | 3 | 1 | 2.42 |