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一个新的混沌系统的动力学分析及混沌控制
引用本文:蔡国梁,谭振梅,周维怀,涂文桃.一个新的混沌系统的动力学分析及混沌控制[J].物理学报,2007,56(11):6230-6237.
作者姓名:蔡国梁  谭振梅  周维怀  涂文桃
作者单位:江苏大学理学院,镇江,212013
基金项目:国家自然科学基金;江苏大学校科研和教改项目
摘    要:提出了一个新的混沌系统,研究了其基本动力学特性.设计了实现该系统的混沌电路,电路实验结果验证了系统的混沌行为.根据Lyapunov稳定性理论,采用自适应backstepping控制方法,把系统控制到一个有界点.数值仿真证明了该方法的有效性和可行性.

关 键 词:新型混沌系统  动力学特性  电路实现  混沌控制
文章编号:1000-3290/2007/56(11)/6230-08
收稿时间:2006-11-12
修稿时间:2006-11-12

Dynamical analysis of a new chaotic system and its chaotic control
Cai Guo-Liang,Tan Zhen-Mei,Zhou Wei-Huai,Tu Wen-Tao.Dynamical analysis of a new chaotic system and its chaotic control[J].Acta Physica Sinica,2007,56(11):6230-6237.
Authors:Cai Guo-Liang  Tan Zhen-Mei  Zhou Wei-Huai  Tu Wen-Tao
Institution:Faculty of Science,Jiangsu University,Zhenjiang 212013,China
Abstract:In this paper a new chaotic system is presented. Some of its basic dynamical properties are studied. An electronic circuit is designed to realize the new chaotic system. Experimental chaotic behavior of the system is found to be identical to the dynamical properties predicted by theoretical analysis and numerical simulations. Based on Lyapunov stability theory, the new chaotic system is controlled by the method of adaptive backstepping. Numerical simulation shows the feasibility and effectiveness of this approach.
Keywords:new chaotic system  dynamical properties  circuit realization  chaotic control
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