Active coupling and its circuitry designs of chaotic systems against deteriorated and delayed networks
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  • 作者：Xiao-Zheng Jin (1) jin445118@163.com
    Wei-Wei Che (1) cwwemail1980@126.com
    Dan Wang (1) wangdan0307@126.com
  • 关键词：Chaotic systems – ; Synchronization – ; Circuitry designs – ; Active couplings – ; Network deterioration – ; Time delays
  • 刊名：Nonlinear Dynamics
  • 出版年：2012
  • 出版时间：November 2012
  • 年：2012
  • 卷：70
  • 期：3
  • 页码：1867-1877
  • 全文大小：499.1 KB
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  • 作者单位：1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang, 110044 P.R. China
  • ISSN：1573-269X
文摘
This paper is concerned with the problem of asymptotic synchronization of a class of chaotic systems in the presence of network deterioration and time-varying delays. Based on adaptive adjustment technique and circuitry principle, a new version of the active coupling as well as its circuit realization is proposed. Then, an approach that is based on application of Lyapunov stability theory for the synchronization error system is introduced to prove the asymptotic synchronization result of the overall chaotic system. Moreover, a condition which denotes that at least one coupling will not be deteriorated for synchronization of the network is provided in the paper. It is shown that, without control inputs, the result can also be established for the deteriorated coupling networks and any time-varying bounded delay under the topological structure satisfying the condition. Finally, the proposed active couplings are physically implemented by circuits and tested by simulation on a Chua’s circuit network.

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