Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System

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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Main Authors: Ping Cai, Jia-Shi Tang, Zhen-Bo Li
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/614135
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spelling doaj-846848f35ccd4b048bac7aaded2af4bb2020-11-25T00:36:40ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/614135614135Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü SystemPing Cai0Jia-Shi Tang1Zhen-Bo Li2College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, ChinaCollege of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, ChinaCollege of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, ChinaControlling 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.http://dx.doi.org/10.1155/2015/614135
collection DOAJ
language English
format Article
sources DOAJ
author Ping Cai
Jia-Shi Tang
Zhen-Bo Li
spellingShingle Ping Cai
Jia-Shi Tang
Zhen-Bo Li
Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
Mathematical Problems in Engineering
author_facet Ping Cai
Jia-Shi Tang
Zhen-Bo Li
author_sort Ping Cai
title Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
title_short Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
title_full Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
title_fullStr Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
title_full_unstemmed Controlling Hopf Bifurcation of a New Modified Hyperchaotic Lü System
title_sort controlling hopf bifurcation of a new modified hyperchaotic lü system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description 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.
url http://dx.doi.org/10.1155/2015/614135
work_keys_str_mv AT pingcai controllinghopfbifurcationofanewmodifiedhyperchaoticlusystem
AT jiashitang controllinghopfbifurcationofanewmodifiedhyperchaoticlusystem
AT zhenboli controllinghopfbifurcationofanewmodifiedhyperchaoticlusystem
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