Journal of Applied Mathematics

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

S. S. Motsa, Y. Khan, and S. Shateyi

Full-text: Open access

Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 258948, 12 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495211

Digital Object Identifier
doi:10.1155/2012/258948

Mathematical Reviews number (MathSciNet)
MR2948152

Zentralblatt MATH identifier
1251.65107

Citation

Motsa, S. S.; Khan, Y.; Shateyi, S. Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System. J. Appl. Math. 2012 (2012), Article ID 258948, 12 pages. doi:10.1155/2012/258948. https://projecteuclid.org/euclid.jam/1355495211


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