摘要
为了更深刻揭示混沌现象发生的本质,构造出一个只含有一个非线性项的四维非线性动力学系统,研究了该系统的超混沌吸引子、Lyapunov指数、庞加莱映射图等复杂动力学特征,这些特征更加深刻地描述了该系统的混沌本质。为了更好控制此四维超混沌系统,分别用线性反馈控制法和自适应控制法对该超混沌系统进行了控制仿真,结果证实了两种控制方法控制只含一个非线性项超混沌系统的可行性和有效性,同时比较了两种控制方法控制混沌系统的优缺点。
In order to study the nature of chaos a four-dimensional hyperchaos system with only one nonlinear term was constructed.In this paper the complex dynamics features including hyperchaos attractor the Lyapunov exponent and the Poincare map were studied which proved the hyperchaos system＇s chaotic behavior.In order to better control this fourdimensional hyperchaotic system the control simulation of the system was given respectively by the linear feedback control and adaptive control method which shows that linear feedback control method and the adaptive control method are effective and feasible to control the hyperchaos system with only one nonlinear term.At the same time the advantages and disadvantages of the two kinds of control methods in controlling chaos system were compared.
出处
《计算机应用》
CSCD
北大核心
2010年第8期2045-2048,共4页
journal of Computer Applications
基金
国家自然科学基金资助项目(50879072)
校人才专项基金资助项目(RCZX-2009-01)
关键词
一个非线性项
混沌
四维超混沌系统
线性反馈控制
自适应控制
one nonlinear term chaos four-dimensional hyperchaos system linear feedback control adaptive control
