On the existence of bifocal heteroclinic cycles in a class of four-dimensional piecewise affine systems

被引:8
|
作者
Wu, Tiantian [1 ]
Yang, Xiao-Song [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1063/1.4949474
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Based on mathematical analysis, this paper provides a methodology to ensure the existence of heteroclinic cycles in a class of four-dimensional piecewise affine systems. In addition, examples are provided to illustrate the effectiveness of the method. Published by AIP Publishing.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Chaotic Dynamics in Four-Dimensional Piecewise Affine Systems with Bifocal Heteroclinic Cycles
    Wu, Tiantian
    Wang, Lei
    Yang, Xiao-Song
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (11):
  • [2] Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems
    徐文静
    徐伟
    蔡力
    Chinese Physics B, 2018, (11) : 254 - 260
  • [3] Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems
    Xu, Wenjing
    Xu, Wei
    Cai, Li
    CHINESE PHYSICS B, 2018, 27 (11)
  • [4] Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles
    Wu, Tiantian
    Yang, Xiao-Song
    CHAOS, 2018, 28 (11)
  • [5] Heteroclinic cycles in a class of 3-dimensional piecewise affine systems
    Wang, Lei
    Yang, Xiao-Song
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 23 : 44 - 60
  • [6] On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
    Yanli Chen
    Lei Wang
    Xiao-Song Yang
    Nonlinear Dynamics, 2018, 91 : 67 - 79
  • [7] On the existence of heteroclinic cycles in some class of 3-dimensional piecewise affine systems with two switching planes
    Chen, Yanli
    Wang, Lei
    Yang, Xiao-Song
    NONLINEAR DYNAMICS, 2018, 91 (01) : 67 - 79
  • [8] Construction of a Class of Four-Dimensional Piecewise Affine Systems with Homoclinic Orbits
    Wu, Tiantian
    Yang, Xiao-Song
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (06):
  • [9] Heteroclinic Cycles Generated by Piecewise Affine Systems in Rn
    Lu, Kai
    Xu, Wenjing
    Wei, Yongchang
    Xu, Wei
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (10):
  • [10] Existence of Homoclinic Cycles and Periodic Orbits in a Class of Three-Dimensional Piecewise Affine Systems
    Wang, Lei
    Yang, Xiao-Song
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (02):