The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system

In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü system. 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 p...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Asrar, Waqar, Rahman, Mohammad Mustafizur
Format:	Article
Language:	English English
Published:	Hindawi Publishing Corporation 2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/4/The_Multistage_Homotopy_Perturbation_.pdf http://irep.iium.edu.my/38614/7/38614_the_multistage_homotopy_scopus.pdf

id	iium-38614
recordtype	eprints
spelling	iium-386142017-11-01T08:14:48Z http://irep.iium.edu.my/38614/ The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Asrar, Waqar Rahman, Mohammad Mustafizur QA Mathematics In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü system. 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 application/pdf en http://irep.iium.edu.my/38614/4/The_Multistage_Homotopy_Perturbation_.pdf application/pdf en http://irep.iium.edu.my/38614/7/38614_the_multistage_homotopy_scopus.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Asrar, Waqar and Rahman, Mohammad Mustafizur (2015) The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system. Abstract and Applied Analysis, 2015. pp. 398027-1. ISSN 1687-0409 (O), 1085-3375 (P) E-ISSN 1687-0409 http://www.hindawi.com/journals/aaa/raa/ 10.1155/2015/398027
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Asrar, Waqar Rahman, Mohammad Mustafizur The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system
description	In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü system. 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
author	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Asrar, Waqar Rahman, Mohammad Mustafizur
author_facet	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Asrar, Waqar Rahman, Mohammad Mustafizur
author_sort	Chowdhury, Md. Sazzad Hossien
title	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_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_sort	multistage homotopy perturbation method for solving chaotic and hyperchaotic lü system
publisher	Hindawi Publishing Corporation
publishDate	2015
url	http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/ http://irep.iium.edu.my/38614/4/The_Multistage_Homotopy_Perturbation_.pdf http://irep.iium.edu.my/38614/7/38614_the_multistage_homotopy_scopus.pdf
first_indexed	2023-09-18T20:55:28Z
last_indexed	2023-09-18T20:55:28Z
_version_	1777410274875146240

The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system

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