Impulsive control and Hopf bifurcation of a three-dimensional chaotic system-Reference-Cited by-同舟云学术

Impulsive control and Hopf bifurcation of a three-dimensional chaotic system

Published:2013-04-10 Issue:9 Volume:20 Page:1361-1368
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

He Xing¹,Li Chuandong¹,Pan Xiaoming²,Peng Mei³

Affiliation:

1. College of Computer Science, Chongqing University, China

2. Department of Physics and Information Science, Liuzhou Teachers College, Liuzhou, China

3. College of Mathematics and Computer Sciences, Yangtze Normal University, China

Abstract

The issue of impulsive stabilization and Hopf bifurcation of a new three-dimensional chaotic system is investigated. This paper derives some sufficient conditions for the stabilization of the system via impulsive control with varying impulsive intervals. By choosing an appropriate bifurcation parameter, we prove that a chaotic system undergoes Hopf bifurcation under certain conditions. Some numerical examples are given to support the analytic results.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546312470475

Reference22 articles.

1. Adaptive Control for Linearizable Chaotic Systems

2. Anti-control of Hopf bifurcations

3. ON FEEDBACK CONTROL OF CHAOTIC NONLINEAR DYNAMIC SYSTEMS

4. On feedback control of chaotic continuous-time systems

5. On time-delayed feedback control of chaotic systems

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