Solving hyperchaotic systems using the spectral relaxation method
type: Item
instance of: scholarly article
title: Solving hyperchaotic systems using the spectral relaxation method
zbMATH Open document ID: 1256.65102
DOI: 10.1155/2012/203461
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 65-04
zbMATH DE Number: 6134035
Wikidata QID: Q58695945
author: Sandile Sydney Motsa
author: Phumlani Goodwill Dlamini
author: Melusi Khumalo
describes a project that uses: Matlab
describes a project that uses: ode45
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/203461
OpenAlex ID: W2022436731
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description: scientific article; zbMATH DE number 6134035