journal6 ›› 2011, Vol. 32 ›› Issue (5): 65-68.

• 物理与电子 • 上一篇    下一篇

一个新超混沌系统

  

  1. (1.安徽科技学院理学院,安徽 凤阳 233100;2.安徽科技学院工学院,安徽 凤阳 233100)
  • 出版日期:2011-09-25 发布日期:2012-04-06
  • 作者简介:高智中(1979-),男,山西神池人,安徽科技学院理学院助教,硕士,主要从事动力系统研究.
  • 基金资助:

    安徽科技学院校自然科学项目(ZRC2010260)

A Novel Hyperchaotic System

  1. (1.College of Science, Anhui Science and Technology University,Fengyang  233100,China;2.College of Engineering,Anhui Science and Technology University,Fengyang 233100,China)
  • Online:2011-09-25 Published:2012-04-06

摘要:为产生复杂的超混沌吸引子,基于一个3维混沌系统构造了一个新的4维超混沌系统,用非线性动力学分析方法研究了该系统吸引子的相图、时间响应、功率谱、系统的分岔图、Lyapunov指数谱图和Lyapunov维数等.分析结果表明,新的4维系统当参数满足一定条件时,具有2个正的Lyapunov指数,是一个新超混沌系统,随着新引入的参数变化呈现周期、复杂周期、拟周期、混沌及超混沌等复杂的动力学行为.

关键词: 超混沌系统, 相图, 分岔图, Lyapunov指数谱

Abstract: In order to generate complex hyperchaotic attractor,a new four-dimensional hyperchaotic system based on a three-dimensional chaotic system is built.The phase diagram, time response, power spectrum,bifurcation diagram and Lyapunov exponents spectrum diagram and fractal dimension of the system are analyzed by means of nonlinear techniques.Results show this system is a new four-dimensional hyperchaotic system with two positive Lyapunov exponents when its parameters satisfy certain conditions.The new system’s complex dynamical behavior can be periodic,complex periodic,quasi-periodic,chaotic and hyperchaotic as the parameter varies.

Key words: hyperchaotic system, phase diagram, bifurcation diagram, Lyapunov exponents spectrum diagram

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