离散动力系统混沌化——配置若干个Lyapunov指数  

Placement of Lyapunov exponents in discrete-time dynamical systems

作　　者：陈旭[1] 晋建秀[1] 丘水生[1] 

机构地区：[1]华南理工大学电子与信息学院,广东广州510640

出　　处：《控制理论与应用》2010年第10期1287-1292,共6页Control Theory & Applications

基　　金：华南理工大学自然科学青年基金资助项目(E5090790);华南理工大学中央高校基本科研业务费专项资金资助项目(D2103410)

摘　　要：对确定性离散时间动力学系统,提出了一种配置Lyapunov指数为正的混沌化和超混沌化方法.得到的受控系统所有Lyapunov指数均不为零,而其中至少一个为正,并且受控系统满足Devaney的混沌定义.此外说明了算法可以配置至少两个或者更多个Lyapunov指数为正,并给出了证明和两个混沌化实例,仿真结果显示了算法的良好效果.A new algorithm is proposed for the placement of Lyapunov exponents to make a deterministic discretetime dynamical system chaotic or hyperchaotic. The resultant controlled system with non-zero Lyapunov exponents is chaotic in the sense of Devaney, with at least one positive Lyapunov exponent being greater than a given positive constant. Besides, this algorithm can make two or more Lyapunov exponents positive, and two chaotised examples are given for the illustration. Simulation results show the effectiveness of this algorithm.

关 键 词：离散时间系统:状态反馈 混沌反控制 混沌 超混沌 

分 类 号：O19[理学—数学]