对称非线性耦合混沌系统的同步

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. 关键词： 混沌 同步 非线性耦合 稳定性准则 超混沌

Synchronization of symmetrically nonlinear-coupled chaotic systems

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.