混沌系统的耦合规律研究  

Study on the coupling rules of chaotic systems

作　　者：倪红霞[1] 范志浩[1] 

机构地区：[1]杭州电子科技大学自动化学院,杭州310018

出　　处：《科技通报》2010年第5期737-742,共6页Bulletin of Science and Technology

基　　金：国家自然科学基金(60302027);浙江省自然科学基金(602127)

摘　　要：采用相减耦合方式,研究了混沌映射系统经过耦合所表现出来的非线性动力学特征,从而对混沌系统的耦合规律进行分析。实验表明,耦合混沌映射系统不但继承了其子系统的非线性动力学特性,同时也拥有耦合所带来的不同于子系统的特性,因此耦合后的混沌映射系统仍是混沌态的,具有参数敏感性和正的Lyapunov指数。而且在相同的参数取值情况下,对于在耦合前还未到达混沌状态的系统,可以通过耦合驱动使其达到混沌状态。In order to analysis the coupling rules of chaotic systems,nonlinear behaviors of coupling chaotic map systems, which is coupled by two different methods, is studied. The result of computer simulation shows that, the coupling chaotic map system not only inherits the child systems＇ nonlinear characteristic, but also has new characteristic which is different from the child systems. So the coupling chaotic map system is still sensitive to the parameters and has positive Lyapunov exponent. And with the same scale of parameters,the uncoupling systems,which do not work in chaotic state, could be driven to chaotic state by proper coupled.

关 键 词：混沌 耦合 非线性动力学 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]