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一类关联混沌系统及其切换与内同步机理研究
引用本文:周小勇,乔晓华,朱雷,刘素芬.一类关联混沌系统及其切换与内同步机理研究[J].物理学报,2013,62(19):190504-190504.
作者姓名:周小勇  乔晓华  朱雷  刘素芬
作者单位:江苏理工学院电气信息工程学院, 常州 213001
摘    要:提出了一类新的具有切换与内同步特性的关联混沌系统, 该系统即可在同维系统间切换, 也可在不同维系统间切换, 当系统切换为四维系统后, 还可实现系统变量间的同步. 通过理论推导、数值仿真、 Lyapunov维数、Lyapunov指数谱研究了其基本动力学特性与内同步机理. 最后, 设计了该切换混沌系统的硬件电路并运用Multisim软件对该混沌系 统及其内同步特性进行了仿真实现, 数值仿真和电路仿真证实了该切换混沌系统物理可实现, 系统具有丰富的动力学特性. 关键词: 关联混沌系统 Lyapunov指数 切换 内同步

关 键 词:关联混沌系统  Lyapunov指数  切换  内同步
收稿时间:2013-05-27

A class of associated chaotic system, its switching and internal synchronization mechanism
Zhou Xiao-Yong , Qiao Xiao-Hua , Zhu Lei , Liu Su-Fen.A class of associated chaotic system, its switching and internal synchronization mechanism[J].Acta Physica Sinica,2013,62(19):190504-190504.
Authors:Zhou Xiao-Yong  Qiao Xiao-Hua  Zhu Lei  Liu Su-Fen
Abstract:A novel class of the associated chaotic systems with switching and synchronization features is proposed in this paper. The system can be switched between the same-dimensional systems, can also be switched between different-dimensional systems, when the system is switched to a four-dimensional system, the synchronization between the system variables can be realized. Basic dynamic properties and the internal synchronization mechanism of the new system are investigated via theoretical analysis, numerical simulation, Lyapunov dimension and Lyapunov exponent spectrum. Finally, the hardware for circuit of the switching chaotic system is designed and realized by using Multisim software; the chaotic system and its synchronization characteristics are simulated and achieved at the same time. The numerical simulation and circuit simulation confirm that the switching chaotic system can be realized physically, and the system has shown rich dynamic properties.
Keywords: associated chaotic system lyapunov exponent switching internal synchronization
Keywords:associated chaotic system  lyapunov exponent  switching  internal synchronization
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