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Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems
Joint Authors
Rebelo, Paulo
Saberi Nik, Hassan
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a pseudospectral method application for solving the hyperchaotic complex systems.
The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems of nonlinear differential equations and using the Chebyshev pseudospectral methods to solve the resulting system on a sequence of multiple intervals.
In this new application, the MSRM is used to solve famous hyperchaotic complex systems such as hyperchaotic complex Lorenz system and the complex permanent magnet synchronous motor.
We compare this approach to the Runge-Kutta based ode45 solver to show that the MSRM gives accurate results.
American Psychological Association (APA)
Saberi Nik, Hassan& Rebelo, Paulo. 2014. Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051693
Modern Language Association (MLA)
Saberi Nik, Hassan& Rebelo, Paulo. Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1051693
American Medical Association (AMA)
Saberi Nik, Hassan& Rebelo, Paulo. Multistage Spectral Relaxation Method for Solving the Hyperchaotic Complex Systems. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051693
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051693