Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System

This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed...

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Main Authors: S. S. Motsa, Y. Khan, S. Shateyi
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/258948
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author S. S. Motsa
Y. Khan
S. Shateyi
author_facet S. S. Motsa
Y. Khan
S. Shateyi
author_sort S. S. Motsa
collection DOAJ
description This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.
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spelling doaj-art-4c066b8fc2f547f29e45a9b7c29b87e92025-02-03T01:09:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/258948258948Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic SystemS. S. Motsa0Y. Khan1S. Shateyi2School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South AfricaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaThis paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.http://dx.doi.org/10.1155/2012/258948
spellingShingle S. S. Motsa
Y. Khan
S. Shateyi
Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
Journal of Applied Mathematics
title Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
title_full Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
title_fullStr Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
title_full_unstemmed Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
title_short Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System
title_sort application of piecewise successive linearization method for the solutions of the chen chaotic system
url http://dx.doi.org/10.1155/2012/258948
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AT sshateyi applicationofpiecewisesuccessivelinearizationmethodforthesolutionsofthechenchaoticsystem