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一个新的非线性系统及其超混沌控制

高智中

浙江大学学报(理学版)2012,Vol.39Issue(3):303-307,5.
浙江大学学报(理学版)2012,Vol.39Issue(3):303-307,5.DOI:10.3785/j.issn.1008-9497.2012.03.014

一个新的非线性系统及其超混沌控制

A novel nonlinear system and its hyperchaotic control

高智中1

作者信息

  • 1. 安徽科技学院理学院,安徽凤阳233100
  • 折叠

摘要

Abstract

In order to generate complex hyperchaotic attractor,a new four-dimensinal nonlinear system based on the classic Lii system is built via deformation and introducing nonlinear state feedback controler. Its basic dynamical properties are briefly investigated via the attractors at edvia the atlractors, the bifurcation diagram. Lyapunov exponent spectrum and fractal dimension. The new system displays periodic, quasi-periodic, chaotic and hyperchaotic when the introduced parameter is changed. The hyperchaotic motion of the system is suppressed using the method of single variable proportion and differential feedback. Theoretical analysis and computer simulations results show the feasibility and effectiveness of the method.

关键词

非线性系统/吸引子/分岔图/Lyapunov指数谱/超混沌控制

Key words

nonlinear system/at tractor/bifurcation diagram/Lyapunov exponent spectrum/hyperchaotic control

分类

数理科学

引用本文复制引用

高智中..一个新的非线性系统及其超混沌控制[J].浙江大学学报(理学版),2012,39(3):303-307,5.

基金项目

安徽省高校省级优秀青年人才基金项目(2012SQRL146). (2012SQRL146)

浙江大学学报(理学版)

OA北大核心CSCDCSTPCD

1008-9497

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