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Fast synchronization of directionally coupled chaotic systems

机译：定向耦合混沌系统的快速同步

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摘要

This paper studies the fast synchronization of directionally coupled chaotic systems under a chained interaction topology. Firstly, by applying finite-time stability theory, it is shown that all chaotic systems can achieve synchronization in finite time as long as the coupling strength is strong enough. Secondly, it is proved that the settling times are determined by the interaction strength, system parameters and initial conditions of the chaotic systems. Furthermore, it is found that the settling times are mainly dependent on the bounded value and dimension of the coupled chaotic systems when the individual chaotic sub-system is bounded. Finally, illustrative examples and numerical simulations are given to show the correctness of theoretical results.
机译：本文研究了链式相互作用拓扑下定向耦合混沌系统的快速同步。首先，通过应用有限时间稳定性理论，证明了只要耦合强度足够强，所有混沌系统都可以在有限时间内实现同步。其次，证明了稳定时间是由相互作用强度，系统参数和混沌系统的初始条件决定的。此外，发现当单个混沌子系统有界时，稳定时间主要取决于耦合混沌系统的有界值和维数。最后，通过算例和数值模拟说明了理论结果的正确性。

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  • 来源
    《Applied Mathematical Modelling》 |2013年第2期|127-136|共10页
  • 作者

    S. Cheng; J.C. Ji; J. Zhou;

  • 作者单位

    Shanghai Institute of Applied Mathematics and Mechanics, Yanchang Road 149, Shanghai University, 200072, China,Faculty of Engineering, University of Technology, Sydney, P.O. Box 123, Broadway, NSW 2007, Australia;

    Faculty of Engineering, University of Technology, Sydney, P.O. Box 123, Broadway, NSW 2007, Australia;

    Shanghai Institute of Applied Mathematics and Mechanics, Yanchang Road 149, Shanghai University, 200072, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    fast synchronization; finite time; directionally coupled; chaotic system;

    机译：快速同步;有限的时间定向耦合混沌系统;

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