Pitchfork bifurcation of a class of discrete dynamical systems

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5826/61631
Uncontrolled Keywords:	Pitchfork bifurcation, class of discrete dynamical systems
Subjects:	Q Science > QA Mathematics > QA300 Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	25 Jan 2018 15:55
Last Modified:	18 Aug 2019 15:03
URI:	http://irep.iium.edu.my/id/eprint/61631

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