Controllability and stability of the perturbed Chen chaotic dynamical system

In this paper, we study perturbed Chen chaotic dynamical system. Firstly, we study the sufficient conditions of parameters which guarantee that the equilibrium points of perturbed Chen chaotic dynamical system are asymptotically stable. Secondly, we study methods for controlling chaos such as feedba...

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Main Authors: Tidarut Plienpanich, Piyapong Niamsup, Yongwimon Lenbury
Other Authors: Chiang Mai University
Format: Article
Published: 2018
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/16641
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spelling th-mahidol.166412018-06-21T15:18:34Z Controllability and stability of the perturbed Chen chaotic dynamical system Tidarut Plienpanich Piyapong Niamsup Yongwimon Lenbury Chiang Mai University Mahidol University Mathematics In this paper, we study perturbed Chen chaotic dynamical system. Firstly, we study the sufficient conditions of parameters which guarantee that the equilibrium points of perturbed Chen chaotic dynamical system are asymptotically stable. Secondly, we study methods for controlling chaos such as feedback control and bounded feedback control that suppress the chaotic behavior to unstable equilibrium points. Finally, we present chaos synchronization of perturbed Chen chaotic dynamical system by using active control and adaptive control. © 2005 Elsevier Inc. All rights reserved. 2018-06-21T08:18:34Z 2018-06-21T08:18:34Z 2005-12-15 Article Applied Mathematics and Computation. Vol.171, No.2 (2005), 927-947 10.1016/j.amc.2005.01.099 00963003 2-s2.0-31144479550 https://repository.li.mahidol.ac.th/handle/123456789/16641 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=31144479550&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Tidarut Plienpanich
Piyapong Niamsup
Yongwimon Lenbury
Controllability and stability of the perturbed Chen chaotic dynamical system
description In this paper, we study perturbed Chen chaotic dynamical system. Firstly, we study the sufficient conditions of parameters which guarantee that the equilibrium points of perturbed Chen chaotic dynamical system are asymptotically stable. Secondly, we study methods for controlling chaos such as feedback control and bounded feedback control that suppress the chaotic behavior to unstable equilibrium points. Finally, we present chaos synchronization of perturbed Chen chaotic dynamical system by using active control and adaptive control. © 2005 Elsevier Inc. All rights reserved.
author2 Chiang Mai University
author_facet Chiang Mai University
Tidarut Plienpanich
Piyapong Niamsup
Yongwimon Lenbury
format Article
author Tidarut Plienpanich
Piyapong Niamsup
Yongwimon Lenbury
author_sort Tidarut Plienpanich
title Controllability and stability of the perturbed Chen chaotic dynamical system
title_short Controllability and stability of the perturbed Chen chaotic dynamical system
title_full Controllability and stability of the perturbed Chen chaotic dynamical system
title_fullStr Controllability and stability of the perturbed Chen chaotic dynamical system
title_full_unstemmed Controllability and stability of the perturbed Chen chaotic dynamical system
title_sort controllability and stability of the perturbed chen chaotic dynamical system
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/16641
_version_ 1763494025322561536