基于一种新的混沌系统的动态分析和图像显示<sub>*</sub>

王划; 盛潇澍; 昝鹏

王划,盛潇澍,昝鹏.基于一种新的混沌系统的动态分析和图像显示_*[J].电测与仪表,2017,54(3):.
Wang Hua,sheng xiao shu,zan peng.Dynamic analysis and image display of a new chaotic attractor[J].Electrical Measurement & Instrumentation,2017,54(3):.

基于一种新的混沌系统的动态分析和图像显示_*

Dynamic analysis and image display of a new chaotic attractor

DOI：

中文关键词: 新的混沌系统，图像显示，动态分析，Multisim.

英文关键词:New Chaotic system, Image display, Dynamic analysis, Multisim.

基金项目:项目：国家自然科学基金(31370998,11202121)项目资助

作者中文名	作者英文名	单位
王划	Wang Hua	上海大学
盛潇澍	sheng xiao shu	上海大学
昝鹏	zan peng	上海大学

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中文摘要:

本文提出了一种三维连续自治混沌系统。与Lorenz、R?ssler、 Chen、Lü等混沌系统不同的是此系统存在三项二次非线性项。针对混沌系统的基本的动力学特性进行分析,得到系统相应的李雅普诺夫指数谱、庞加莱截面、连续谱以及分岔图,揭示了混沌系统的本质。最后通过Matlab编程,Simulink建模以及Multisim电路设计,电路的Mutisim仿真结果与系统的Matlab仿真结果完全一致,都呈现出了相同的混沌吸引子。

英文摘要:

This paper proposes a new three-dimensional continuous autonomous chaotic system. Different from all other chaotic systems like Lorenz, R?ssler, Chen, Lü systems,two quadratic terms co-exist in the third equation of this new chaotic system. Some basic dynamical properties, such as Lyapunov exponents, Poincare mapping, continuous spectrum and bifurcation diagram are studied. Finally, the three different kinds of image display have been investigated by means of the Matlab programme, matlab’s simulink model as well as the Multisim. Simulation results show that they are consistent with the corresponding numerical simulation results of system equations.

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