The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü 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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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/398027 |
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| author | M. S. H. Chowdhury Nur Isnida Razali Waqar Asrar M. M. Rahman |
| author_facet | M. S. H. Chowdhury Nur Isnida Razali Waqar Asrar M. M. Rahman |
| author_sort | M. S. H. Chowdhury |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-9dc3648cac4c4078959d1f1b7f062035 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9dc3648cac4c4078959d1f1b7f0620352025-02-03T01:02:04ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/398027398027The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü SystemM. S. H. Chowdhury0Nur Isnida Razali1Waqar Asrar2M. M. Rahman3Department of Science in Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Mechanical Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Mechanical Engineering, Faculty of Engineering, International Islamic University Malaysia, Jalan Gombak, 53100 Kuala Lumpur, MalaysiaDepartment of Physics, Faculty of Science, Universiti Putra Malaysia, 43400 Selangor, MalaysiaThe 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.http://dx.doi.org/10.1155/2015/398027 |
| spellingShingle | M. S. H. Chowdhury Nur Isnida Razali Waqar Asrar M. M. Rahman The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System Abstract and Applied Analysis |
| title | The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System |
| title_full | The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System |
| title_fullStr | The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System |
| title_full_unstemmed | The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System |
| title_short | The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System |
| title_sort | multistage homotopy perturbation method for solving chaotic and hyperchaotic lu system |
| url | http://dx.doi.org/10.1155/2015/398027 |
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