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新五维超混沌Lorenz系统

柳妮

重庆高教研究2011,Vol.30Issue(5):75-79,5.
重庆高教研究2011,Vol.30Issue(5):75-79,5.

新五维超混沌Lorenz系统

A new five-dimensional hyperchaotic Lorenz system

柳妮1

作者信息

  • 1. 四川文理学院物理与工程技术系,四川达州635000
  • 折叠

摘要

Abstract

A new five-dimensional hyperchaotic Lorenz system has been constructed by adding a linear feedback controller and a nonlinear feedback controller to the three-dimensional chaotic Lorenz system.The dynamic behaviors including the stability of equilibriums,the bifurcation diagram,strange attractors and Lyapunov exponents are studied when the system parameter ris varied in detail.The results of this study show the new five-dimensional hyperchaotic Lorenz system has a wide parameter range which makes the system in hyperchaos state and has very a narrow range that make the system in chaos state.The system also has a wide parameter range that make system in periodic orbit and quasi-periodic orbit.The process of the new system's behaviors is very obvious.

关键词

超混沌系统/周期轨道/拟周期轨道/分岔图/李雅普诺夫指数

Key words

hyperchaotic system/periodic orbit/quasi-periodic orbit/bifurcation diagram/Lyapunov exponents

分类

信息技术与安全科学

引用本文复制引用

柳妮..新五维超混沌Lorenz系统[J].重庆高教研究,2011,30(5):75-79,5.

重庆高教研究

OACHSSCD

1673-8012

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