Solving Hyperchaotic Systems Using the Spectral Relaxation Method | Zendy

S. S. Motsa | Zendy; Phumlani Dlamini | Zendy; M. Khumalo | Zendy

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Solving Hyperchaotic Systems Using the Spectral Relaxation Method

Author(s) -

S. S. Motsa,

Phumlani Dlamini,

M. Khumalo

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/203461

Subject(s) - gauss , mathematics , relaxation (psychology) , solver , pseudo spectral method , matlab , spectral method , chebyshev filter , mathematical optimization , mathematical analysis , computer science , fourier transform , physics , psychology , social psychology , fourier analysis , quantum mechanics , operating system

A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. The proposed method, called the multistage spectral relaxation method (MSRM), is applied for the numerical solution of three hyperchaotic systems, namely, the Chua, Chen, and Rabinovich-Fabrikant systems. To demonstrate the performance of the method, results are presented in tables and diagrams and compared to results obtained using a Runge-Kutta-(4,5)-based MATLAB solver, ode45, and other previously published results

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