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一类Arneodo动力系统的混沌控制

徐昌进 李培峦 陆琳

安徽大学学报(自然科学版)2014,Vol.38Issue(2):15-22,8.
安徽大学学报(自然科学版)2014,Vol.38Issue(2):15-22,8.DOI:10.3969/j.issn.1000-2162.2014.02.003

一类Arneodo动力系统的混沌控制

Chaos control in an Arneodo dynamical system

徐昌进 1李培峦 2陆琳1

作者信息

  • 1. 贵州财经大学 数学与统计学院,贵州省经济系统仿真重点实验室,贵州 贵阳 550004
  • 2. 河南科技大学 数学与统计学院,河南 洛阳 471003
  • 折叠

摘要

Abstract

This paper investigated the problem of controlling chaos in Arneodo chaotic dynamical system. Time-delayed feedback control method was applied to suppress chaos to unstable equilibria or unstable periodic orbits. The stability of the equilibriums and local Hopf bifurcation of the system were analyzed. Some numerical simulations were presented to show the effectiveness of the time-delayed feedback control method. Finally, main conclusions were given.

关键词

Arneodo系统/混沌/稳定性/Hopf分支/周期解

Key words

Arneodo system/chaos/stability/Hopf bifurcation/periodic solution

分类

数理科学

引用本文复制引用

徐昌进,李培峦,陆琳..一类Arneodo动力系统的混沌控制[J].安徽大学学报(自然科学版),2014,38(2):15-22,8.

基金项目

Supported by National Natural Science Foundation of China(11261010),Soft Science and Technology Program of Guizhou Province (2011LKC2030),Natural Science and Technology Foundation of Guizhou Province (J [2012]2100),Governor Foundation of Guizhou Province ([2012] 53) and Natural Science Innovation Team Project of Guizhou Province ([2013] 14),Natural Science and Technology Foundation of Guizhou Province (2014) and Doctoral Foundation of Guizhou University of Finance and Economics (2010) (11261010)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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