超混沌R?ssler系统构成的星形网络的混沌同步

通过对超混沌系统线性项与非线性项的适当分离配置，构造一个特殊的非线性耦合函数作为单元之间的耦合函数，提出非线性非对称耦合混沌同步方法，研究超混沌Rssler系统单元按照星形连接形式组成网络的同步问题.发现耦合强度在某一区域里存在着稳定的混沌同步现象.分析并讨论了不同参数在耦合过程中对混沌同步过程及其稳定性的影响.数值模拟结果证实该方法的有效性. 关键词： 超混沌同步 非线性耦合 R ssler系统 星形网络

Synchronization of star-network of hyperchaotic R?ssler systems

The synchronization of two symmetrical and nonsymmetrical nonlinear-coupled chaotic systems is discussed. A special nonlinear-coupling term is constructed by suitable separation between linear and nonlinear terms of the chaotic system, and the phenomenon of stable chaotic synchronization can be found in a certain region of the coupling strength. We used this method in hyperchaotic synchronization of Rssler system. The method can also be generalized to a form for hyperchaotic synchronization of networks linked by star coupling connection. By varying parameters in a region, we observed its effects on the stability of chaotic synchronization. Numerical calculation showned that the method is effective for hyperchaotic synchronization of Rssler system.