Pitchfork bifurcation of a class of discrete dynamical systems

A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness...

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Main Author:	Pah, Chin Hee
Format:	Conference or Workshop Item
Language:	English English English
Published:	2017
Subjects:	QA300 Analysis
Online Access:	http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf

id	iium-61631
recordtype	eprints
spelling	iium-616312019-08-18T07:03:49Z http://irep.iium.edu.my/61631/ Pitchfork bifurcation of a class of discrete dynamical systems Pah, Chin Hee QA300 Analysis A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness of stable fixed point and single stable fixed point are immediately obtained. All the previous results could be derived using this criterion. 2017-01-10 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf application/pdf en http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf application/pdf en http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf Pah, Chin Hee (2017) Pitchfork bifurcation of a class of discrete dynamical systems. In: 2nd International Conference And Workshop On Mathematical Analysis 2016 (ICWOMA2016), 2nd–4th August 2016, Langkawi, Kedah, Malaysia. http://aip.scitation.org/doi/pdf/10.1063/1.4972161 10.1063/1.4972161
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English English
topic	QA300 Analysis
spellingShingle	QA300 Analysis Pah, Chin Hee Pitchfork bifurcation of a class of discrete dynamical systems
description	A class of discrete dynamical systems is introduced to unify various dynamical systems that appeared in the study of phase transition phenomenon of Ising model on the Cayley tree. We give an alternative method to study the stable fixed points of these dynamical systems. The regions of non-uniqueness of stable fixed point and single stable fixed point are immediately obtained. All the previous results could be derived using this criterion.
format	Conference or Workshop Item
author	Pah, Chin Hee
author_facet	Pah, Chin Hee
author_sort	Pah, Chin Hee
title	Pitchfork bifurcation of a class of discrete dynamical systems
title_short	Pitchfork bifurcation of a class of discrete dynamical systems
title_full	Pitchfork bifurcation of a class of discrete dynamical systems
title_fullStr	Pitchfork bifurcation of a class of discrete dynamical systems
title_full_unstemmed	Pitchfork bifurcation of a class of discrete dynamical systems
title_sort	pitchfork bifurcation of a class of discrete dynamical systems
publishDate	2017
url	http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/ http://irep.iium.edu.my/61631/7/61631-Pitchfork%20Bifurcation%20of%20a%20Class.pdf http://irep.iium.edu.my/61631/8/61631-Pitchfork%20bifurcation-SCOPUS.pdf http://irep.iium.edu.my/61631/19/61631%20Pitchfork%20bifurcation%20of%20a%20class%20of%20discrete%20WOS.pdf
first_indexed	2023-09-18T21:27:22Z
last_indexed	2023-09-18T21:27:22Z
_version_	1777412281855901696

Pitchfork bifurcation of a class of discrete dynamical systems

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