Numerical experiments on the hyperchaotic Chen system by the Adomian decomposition methods

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Abstract

The aim of this paper is to investigate the accuracy of the Adomian decomposition method (ADM) for solving the hyperchaotic Chen system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth order Runge-Kutta (RK4) solutions are made. We look particularly at the accuracy of the ADM as the hyperchaotic Chen system has higher Lyapunov exponents than the hyperchaotic Rössler system. A comparison with the hyperchaotic Rössler system is given.

Original languageEnglish
Pages (from-to)403-412
Number of pages10
JournalInternational Journal of Computational Methods
Volume5
Issue number3
DOIs
Publication statusPublished - 2008

Fingerprint

Chen System
Hyperchaotic System
Adomian Decomposition Method
Numerical Experiment
Decomposition
Experiments
Runge-Kutta
Lyapunov Exponent
Fourth Order
Nonlinearity
Decompose

Keywords

  • Adomian decomposition method
  • Hyperchaotic Chen system
  • Hyperchaotic Rössler system
  • Runge-Kutta method

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

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title = "Numerical experiments on the hyperchaotic Chen system by the Adomian decomposition methods",
abstract = "The aim of this paper is to investigate the accuracy of the Adomian decomposition method (ADM) for solving the hyperchaotic Chen system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth order Runge-Kutta (RK4) solutions are made. We look particularly at the accuracy of the ADM as the hyperchaotic Chen system has higher Lyapunov exponents than the hyperchaotic R{\"o}ssler system. A comparison with the hyperchaotic R{\"o}ssler system is given.",
keywords = "Adomian decomposition method, Hyperchaotic Chen system, Hyperchaotic R{\"o}ssler system, Runge-Kutta method",
author = "Al-Sawalha, {M. Mossa} and {Md. Noorani}, {Mohd. Salmi} and Ishak Hashim",
year = "2008",
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AU - Al-Sawalha, M. Mossa

AU - Md. Noorani, Mohd. Salmi

AU - Hashim, Ishak

PY - 2008

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AB - The aim of this paper is to investigate the accuracy of the Adomian decomposition method (ADM) for solving the hyperchaotic Chen system, which is a four-dimensional system of ODEs with quadratic nonlinearities. Comparisons between the decomposition solutions and the fourth order Runge-Kutta (RK4) solutions are made. We look particularly at the accuracy of the ADM as the hyperchaotic Chen system has higher Lyapunov exponents than the hyperchaotic Rössler system. A comparison with the hyperchaotic Rössler system is given.

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KW - Hyperchaotic Chen system

KW - Hyperchaotic Rössler system

KW - Runge-Kutta method

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