各有一个线性项的两个新的混沌系统及其异结构同步

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摘要本文构建了两个新的三维自治连续混沌系统，其重要特点是它们均有线平衡以及一个线性项。分析了两个系统的平衡点、Lyapunov指数谱和分岔图等。借助于拓扑马蹄理论和数值计算，找到了两个系统的拓扑马蹄，并获得了拓扑熵。基于条件Lyapunov稳定性理论，采用主动控制同步法实现了两个系统的异结构同步。数值模拟和理论分析验证了所设计控制器的有效性。

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	鲜永菊1
	夏诚1
	钟德1
	徐昌彪2

关键词 ：混沌系统, 线平衡, 拓扑马蹄, 异结构同步

Abstract：Here,two new 3-D autonomous continuous chaotic systems were constructed. Their important characteristics were that each of them has line equilibrium and only one linear term. The two systems’ equilibrium point,Lyapunov exponent spectrum and bifurcation diagram were investigated,respectively. By means of the topological horseshoe theory and numerical computation,their topological horseshoes and topological entropies were obtained. Based on the conditional Lyapunov stability theory,the different structure synchronization between the two chaotic systems was realized using the active control synchronization method. Numerical simulation and theoretical analysis verified the effectiveness of the designed controller.

Key words： chaotic system line equilibrium topological horseshoe different structure synchronization

收稿日期: 2017-11-02 出版日期: 2019-03-28

引用本文:

鲜永菊1，夏诚1，钟德1，徐昌彪2. 各有一个线性项的两个新的混沌系统及其异结构同步[J]. 振动与冲击, 2019, 38(7): 71-76.
XIAN Yongju 1, XIA Cheng 1, ZHONG De 1, XU Changbiao 2. Two new chaotic systems with only one linear term and their different structure synchronization. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(7): 71-76.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I7/71

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