Pitchfork Bifurcation of a Class of Discrete Dynamical Systems

被引：0
|
作者：
Chin Hee, Pah [1 ]
机构：
[1] Int Islamic Univ Malaysia, Fac Sci, Kuantan, Malaysia
来源：
2ND INTERNATIONAL CONFERENCE AND WORKSHOP ON MATHEMATICAL ANALYSIS 2016 (ICWOMA2016) | 2017年 / 1795卷
关键词：
COMPETING INTERACTIONS; ISING-MODEL; PHASE; TREES;
D O I：
10.1063/1.4972161
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：6
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