The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system
The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of th...
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/46653/ http://psasir.upm.edu.my/id/eprint/46653/1/The%20multistage%20homotopy%20perturbation%20method%20for%20solving%20chaotic%20and%20hyperchaotic%20lu%20system.pdf |
| _version_ | 1848850708041826304 |
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| author | Chowdhury, M. S. H. Razali, Nur Isnida Asrar, Waqar Rahman, M. M. |
| author_facet | Chowdhury, M. S. H. Razali, Nur Isnida Asrar, Waqar Rahman, M. M. |
| author_sort | Chowdhury, M. S. H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. |
| first_indexed | 2025-11-15T10:10:35Z |
| format | Article |
| id | upm-46653 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:10:35Z |
| publishDate | 2015 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-466532018-02-23T00:18:31Z http://psasir.upm.edu.my/id/eprint/46653/ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system Chowdhury, M. S. H. Razali, Nur Isnida Asrar, Waqar Rahman, M. M. The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems. Hindawi Publishing Corporation 2015 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/46653/1/The%20multistage%20homotopy%20perturbation%20method%20for%20solving%20chaotic%20and%20hyperchaotic%20lu%20system.pdf Chowdhury, M. S. H. and Razali, Nur Isnida and Asrar, Waqar and Rahman, M. M. (2015) The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system. Abstract and Applied Analysis, 2015. art. no. 398027. pp. 1-17. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/ 10.1155/2015/398027 |
| spellingShingle | Chowdhury, M. S. H. Razali, Nur Isnida Asrar, Waqar Rahman, M. M. The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title | The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title_full | The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title_fullStr | The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title_full_unstemmed | The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title_short | The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lu system |
| title_sort | multistage homotopy perturbation method for solving chaotic and hyperchaotic lu system |
| url | http://psasir.upm.edu.my/id/eprint/46653/ http://psasir.upm.edu.my/id/eprint/46653/ http://psasir.upm.edu.my/id/eprint/46653/ http://psasir.upm.edu.my/id/eprint/46653/1/The%20multistage%20homotopy%20perturbation%20method%20for%20solving%20chaotic%20and%20hyperchaotic%20lu%20system.pdf |