一个新超混沌系统及其线性反馈同步  

A Novel Hyperchaotic System and Its Linear Feedback Synchronization

作　　者：高智中[1] 

机构地区：[1]安徽科技学院理学院,安徽凤阳233100

出　　处：《中山大学学报（自然科学版）》2012年第6期30-34,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：安徽省高校省级优秀青年人才基金资助项目(2012SQRL146)

摘　　要：构造了一个新的四维超混沌系统,用数值模拟方法研究了该系统的相图、分岔图、Lyapunov指数谱等动力学行为。分析结果表明新系统随新引入的参数变化时呈现周期、拟周期和超混沌动力学行为,而且超混沌的参数范围较大。基于Lyapunov稳定性定理,设计了一种线性牵制控制器实现了该超混沌系统的混沌同步,结果表明该方法正确有效。A novel four-dimensional hyperchaotic system is reported. The phase diagram, bifurcation diagram and Lyapunov exponents spectrum diagram of the system are analyzed by means of numerical simulations. Results show the new system takes on periodic, quasi-periodic and hyperchaotic dynamical behaviors as the new introduced parameter varies. And the range of hyperchaos is wider. Based on the Lyapunov stability theorem, a linear pinning controller is designed to achieve the synchronization of the new hyperchaotie system. Results demonstrate that the method is correct and effective.

关 键 词：新超混沌系统 相图 分岔图 LYAPUNOV指数谱 线性反馈同步 

分 类 号：N941.7[自然科学总论—系统科学]