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.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] SMOOTH STABILIZING FEEDBACK FOR A CLASS OF MECHANICAL SYSTEMS WITH A PITCHFORK BIFURCATION
    ABICHOU, A
    DANDREANOVEL, B
    SYSTEMS & CONTROL LETTERS, 1994, 22 (06) : 393 - 405
  • [2] STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS
    Saha, L. M.
    Bharti
    Mohanty, R. K.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2010, 34 (A1): : 1 - 12
  • [3] On the stability for a class of discrete dynamical systems
    Feng, BL
    Yu, YH
    3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 789 - 793
  • [4] Global bifurcation of homoclinic trajectories of discrete dynamical systems
    Pejsachowicz, Jacobo
    Skiba, Robert
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (06): : 2088 - 2109
  • [5] Stability and Bifurcation Analysis of Discrete Dynamical Systems 2020
    Khan, Abdul Qadeer
    Ibrahim, Tarek F.
    Khaliq, Abdul
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2021, 2021
  • [6] THE INDEX BUNDLE AND MULTIPARAMETER BIFURCATION FOR DISCRETE DYNAMICAL SYSTEMS
    Skiba, Robert
    Waterstraat, Nils
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2017, 37 (11) : 5603 - 5629
  • [7] The Pitchfork Bifurcation
    Rajapakse, Indika
    Smale, Steve
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (09):
  • [8] Stability and Bifurcation Analysis of a Class of Networked Dynamical Systems
    Zhang, Guofeng
    Zheng, Wei Xing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (08) : 664 - 668
  • [9] Global Attractors for a Class of Discrete Dynamical Systems
    Bonotto, Everaldo de Mello
    Uzal, Jose Manuel
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2024,
  • [10] Instability of a class of nonlinear discrete dynamical systems
    Zhao, Jiemin
    IMECS 2008: INTERNATIONAL MULTICONFERENCE OF ENGINEERS AND COMPUTER SCIENTISTS, VOLS I AND II, 2008, : 2025 - 2026
12345