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

M. Mossa Al-Sawalha; M. S.M. Noorani; I. Hashim

doi:10.1142/S0219876208001571

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

M. Mossa Al-Sawalha
, M. S.M. Noorani
, I. Hashim

Universiti Kebangsaan Malaysia

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 language	English
Pages (from-to)	403-412
Number of pages	10
Journal	International Journal of Computational Methods
Volume	5
Issue number	3
DOIs	https://doi.org/10.1142/S0219876208001571
State	Published - 2008
Externally published	Yes

Keywords

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

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10.1142/S0219876208001571

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 Noorani, \{M. S.M.\} and I. Hashim",

year = "2008",

doi = "10.1142/S0219876208001571",

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AU - Al-Sawalha, M. Mossa

AU - Noorani, M. S.M.

AU - Hashim, I.

PY - 2008

Y1 - 2008

N2 - 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.

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.

KW - Adomian decomposition method

KW - Hyperchaotic Chen system

KW - Hyperchaotic Rössler system

KW - Runge-Kutta method

UR - https://www.scopus.com/pages/publications/54949109084

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DO - 10.1142/S0219876208001571

M3 - Article

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SN - 0219-8762

VL - 5

SP - 403

EP - 412

JO - International Journal of Computational Methods

JF - International Journal of Computational Methods

IS - 3

ER -

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

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Keywords

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