A numeric-analytic method for approximating the chaotic Chen system

M. Mossa Al-sawalha, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The epitome of this paper centers on the application of the differential transformation method (DTM) the renowned Chen system which is described as a three-dimensional system of ODEs with quadratic nonlinearities. Numerical comparisons are made between the DTM and the classical fourth-order Runge-Kutta method (RK4). Our work showcases the precision of the DTM as the Chen system transforms from a non-chaotic system to a chaotic one. Since the Lyapunov exponent for this system is much higher compared to other chaotic systems, we shall highlight the difficulties of the simulations with respect to its accuracy. We wrap up our investigations to reveal that this direct symbolic-numeric scheme is effective and accurate.

Original languageEnglish
Pages (from-to)1784-1791
Number of pages8
JournalChaos, Solitons and Fractals
Volume42
Issue number3
DOIs
Publication statusPublished - 15 Nov 2009

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Differential Transformation Method
Chen System
Numerics
Chaotic System
Numerical Comparisons
Runge-Kutta Methods
Lyapunov Exponent
Fourth Order
Nonlinearity
Transform
Three-dimensional
Simulation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

A numeric-analytic method for approximating the chaotic Chen system. / Mossa Al-sawalha, M.; Md. Noorani, Mohd. Salmi.

In: Chaos, Solitons and Fractals, Vol. 42, No. 3, 15.11.2009, p. 1784-1791.

Research output: Contribution to journalArticle

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