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一个新的分数阶混沌系统及其异结构同步

A new three-dimensional chaotic system and synchronization of different systems
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摘要 构造了一个新的三维混沌系统,该系统与Chen系统、Lorenz系统等各类经典的混沌系统都是拓扑不等价的.通过理论分析、数值仿真研究了该系统的混沌特性,且发现新系统在低于3阶时仍然呈现丰富的混沌现象.实现了该分数阶系统与其响应系统的异结构同步. A new fractional-order chaotic system was introduced. This system is not topologically equivalent to the Chen and lorenz systems. The basic dynamic properties of the new system are investigated via theoretical analysis and numerical simulation. This new fractional-order system is found to be chaotic for q 〈 1. To realize the three-dimensional chaotic system and its synchronization of different systems.
出处 《郑州轻工业学院学报(自然科学版)》 CAS 2010年第2期103-106,共4页 Journal of Zhengzhou University of Light Industry:Natural Science
关键词 混沌系统 吸引子 异结构同步 chaotic system attractor synchronization of different systems
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参考文献4

  • 1Lorenz E N.Deterministic nonperiodic flow[J].Atoms Sci,1963,20(2):130.
  • 2Chen G R,Ueta T.Yet another chaotic attractor[J].Int J of Bifure Chaos,1999,9:1465.
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  • 4Lv J H,Chen G R,Zhang S C.Dynamical analysis of a new chaotic attractor coined[J].Int J of Bifurcation and Chaos,2002,12 (5):1001.

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