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Control and Synchronization of a Novel Hyperchaotic System Containing One Quadratic Term

Control and Synchronization of a Novel Hyperchaotic System Containing One Quadratic Term
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摘要 A novel hyperchaotic system derived from Liu system is proposed in this paper. Lyapunov exponent, phase portrait and Poincare mapping are given to verify that the system is hyperchaotic. A controller is designed to compel the hyperchaotic system to converge into the equilibrium. It is proved theoretically that this control law is feasible and valid by Lyapunov second method. Based on linear feedback synchronization control principle, synchronization control of the novel hyperchaotic system is realized. Numerical simulation shows that this synchronization method is simple and effective. As long as the proper linear feedback control vector is chosen, it is easy to achieve the rapid synchronization between the driving system and response system.
出处 《Journal of Systems Science and Information》 2009年第1期33-41,共9页 系统科学与信息学报(英文)
关键词 Liu chaotic system hyperchaotic system Poincare mapping nonlinear control linear feedback synchronization 超混沌系统 反馈同步 控制器 Poincare映射 李雅普诺夫第二方法 线性反馈控制 李雅普诺夫指数 词汇
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