Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System-Reference-Cited by-同舟云学术

Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Cai Ping¹²,Tang Jia-Shi¹,Li Zhen-Bo¹

Affiliation:

1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China

2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China

Abstract

Controlling Hopf bifurcation of a new modified hyperchaotic Lü system is investigated in this paper. A hybrid control strategy using both state feedback and parameter control is proposed. The control strategy realizes the delay of Hopf bifurcation. Furthermore, by applying the normal form theory, the stability of the bifurcation is determined. Numerical simulation results are given to support the theoretical analysis.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2015/614135.pdf

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