Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System

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, th...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-6
Main Authors: Cai, Ping, Li, Zhen-Bo, Tang, Jia-Shi
Format: Article
Language:English
Subjects:
Canonical forms
Control systems
Eigenvalues
Equilibrium
Hopf bifurcation
Hybrid control
Hybrid systems
Mathematical problems
Parameter modification
State feedback
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Summary: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.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/614135