Solving Hyperchaotic Systems Using the Spectral Relaxation Method
Joint Authors
Motsa, Sandile Sydney
Dlamini, P. G.
Khumalo, Melusi
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Motsa, Sandile Sydney& Dlamini, P. G.& Khumalo, Melusi. 2012. Solving Hyperchaotic Systems Using the Spectral Relaxation Method. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-454149
Modern Language Association (MLA)
Motsa, Sandile Sydney…[et al.]. Solving Hyperchaotic Systems Using the Spectral Relaxation Method. Abstract and Applied Analysis No. 2012 (2012), pp.1-18.
https://search.emarefa.net/detail/BIM-454149
American Medical Association (AMA)
Motsa, Sandile Sydney& Dlamini, P. G.& Khumalo, Melusi. Solving Hyperchaotic Systems Using the Spectral Relaxation Method. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-18.
https://search.emarefa.net/detail/BIM-454149
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454149