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Numerical analysis on chaos attractors using a backward difference formulation

The chaos attractor is a system of ordinary differential equations which is known for having chaotic solutions for certain parameter values and an initial condition. Research conducted in the current work establishes a backward difference algorithm to study these chaos attractors. Different types...

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Main Authors: Rasedee, A. F. N., Abdul Sathar, M. H., Mohd Najib, N., Wong, T. J., Koo, L. F.
Format: Article
Published: Lviv Polytechnic National University 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102336/
https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022
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spelling my.upm.eprints.1023362023-07-11T03:59:55Z http://psasir.upm.edu.my/id/eprint/102336/ Numerical analysis on chaos attractors using a backward difference formulation Rasedee, A. F. N. Abdul Sathar, M. H. Mohd Najib, N. Wong, T. J. Koo, L. F. The chaos attractor is a system of ordinary differential equations which is known for having chaotic solutions for certain parameter values and an initial condition. Research conducted in the current work establishes a backward difference algorithm to study these chaos attractors. Different types of chaos mapping, namely the Lorenz chaos, 'sandwich' chaos and 'horseshoe' chaos will be analyzed. Compared to other numerical methods, the proposed backward difference algorithm will show to be an efficient tool for analyzing solutions for the chaos attractors. Lviv Polytechnic National University 2022 Article PeerReviewed Rasedee, A. F. N. and Abdul Sathar, M. H. and Mohd Najib, N. and Wong, T. J. and Koo, L. F. (2022) Numerical analysis on chaos attractors using a backward difference formulation. Mathematical Modeling and Computing, 9 (4). 898 - 908. ISSN 2312-9794; ESSN: 2415-3788 https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022 10.23939/mmc2022.04.898
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description The chaos attractor is a system of ordinary differential equations which is known for having chaotic solutions for certain parameter values and an initial condition. Research conducted in the current work establishes a backward difference algorithm to study these chaos attractors. Different types of chaos mapping, namely the Lorenz chaos, 'sandwich' chaos and 'horseshoe' chaos will be analyzed. Compared to other numerical methods, the proposed backward difference algorithm will show to be an efficient tool for analyzing solutions for the chaos attractors.
format Article
author Rasedee, A. F. N.
Abdul Sathar, M. H.
Mohd Najib, N.
Wong, T. J.
Koo, L. F.
spellingShingle Rasedee, A. F. N.
Abdul Sathar, M. H.
Mohd Najib, N.
Wong, T. J.
Koo, L. F.
Numerical analysis on chaos attractors using a backward difference formulation
author_facet Rasedee, A. F. N.
Abdul Sathar, M. H.
Mohd Najib, N.
Wong, T. J.
Koo, L. F.
author_sort Rasedee, A. F. N.
title Numerical analysis on chaos attractors using a backward difference formulation
title_short Numerical analysis on chaos attractors using a backward difference formulation
title_full Numerical analysis on chaos attractors using a backward difference formulation
title_fullStr Numerical analysis on chaos attractors using a backward difference formulation
title_full_unstemmed Numerical analysis on chaos attractors using a backward difference formulation
title_sort numerical analysis on chaos attractors using a backward difference formulation
publisher Lviv Polytechnic National University
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/102336/
https://science.lpnu.ua/mmc/all-volumes-and-issues/volume-9-number-4-2022
_version_ 1772813436126756864
score 13.251813

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