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中国物理学会期刊

对称非线性耦合混沌系统的同步

CSTR: 32037.14.aps.54.3029

Synchronization of symmetrically nonlinear-coupled chaotic systems

CSTR: 32037.14.aps.54.3029
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  • 研究两个对称非线性耦合混沌系统的同步问题.通过对系统线性项与非线性项的适当分离, 构造一个特殊的非线性耦合项,发现在耦合强度α=05附近的某一区域里存在稳定的 混沌同步现象.提供判断同步误差稳定性的方程,利用线性系统的稳定性分析准则和条件Lya punov指数来检验同步状态的稳定性.新方法适用于连续时间系统的混沌同步,也适用于具有 两个(或多于两个)正Lyapunov指数的超混沌系统.以Lorenz系统,超混沌Rssler 系统作 为算例,数值模拟结果证实所提新方法的有效性.

     

    The synchronization of two symmetrical nonlinear-coupled chaotic systems is discussed. A special nonlinear-coupled term is constructed by suitable separation between linear and nonlinear terms of the chaotic system. The phenomenon of stab le chaotic synchronization has been found in a certain region of the coupled str ength α=05. The stability of the synchronous state is examined by the sta bility criterion of linear systems and the conditional Lyapunov exponent. The Lo renz system and the hyper-chaotic Rssler system are treated as numerical exam ples. It is shown that the proposed method is effective for chaotic synchronizat ion of time-continued systems and hyper-chaotic systems.

     

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