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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2015/614135 |
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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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1725304369646141440 |