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...
| Main Authors: | , , , , |
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| Format: | Article |
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Lviv Polytechnic National University
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/102336/ |
| _version_ | 1848863776423542784 |
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| author | Rasedee, A. F. N. Abdul Sathar, M. H. Mohd Najib, N. Wong, T. J. Koo, L. F. |
| 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. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:38:18Z |
| format | Article |
| id | upm-102336 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:38:18Z |
| publishDate | 2022 |
| publisher | Lviv Polytechnic National University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | Numerical analysis on chaos attractors using a backward difference formulation |
| title_sort | numerical analysis on chaos attractors using a backward difference formulation |
| url | http://psasir.upm.edu.my/id/eprint/102336/ http://psasir.upm.edu.my/id/eprint/102336/ http://psasir.upm.edu.my/id/eprint/102336/ |