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一个新的混沌系统及其性质研究
  • 期刊名称：物理学报，2006年，55 (8)：3956-3964
  • 时间：0
  • 分类：O415.5[理学—理论物理;理学—物理]
  • 作者机构：[1]南开大学自动化系,天津300071
  • 相关基金：国家自然科学基金（批准号：60374037,60574036）、高等学校博士学科点专项科研基金（批准号：20050055013）和教育部新世纪优秀人才支持计划（批准号：2005-290）资助的课题.
  • 相关项目：智能混沌平台及其在网络通信中的应用
关键词： 混沌系统, 混沌生成, Lorenz系统, Lyapunov指数谱, chaotic system, chaos generation, Lorenz system, Lyapunov exponents spectrum
中文摘要：

构造了一个新的不同于Lorenz系统、Chen系统和Lü系统的三维连续自治混沌系统．该系统含有四个参数，两个非线性乘积项．通过理论推导、数值仿真、Lyapunov指数谱、分岔图和Poincaré截面图研究了系统的基本动力学特性，并分析了改变不同参数时系统动力学行为的变化。

英文摘要：

This paper reports a new three-dimensional continuous autonomous chaotic system, which is different from the Lorenz, Chen and Lü systems. The new system contains two quadratic cress-preduct terms and four system parameters. Basic dynamic properties of the new system are studied by means of theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré section diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed.

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