Rank one chaos in a class of planar systems with heteroclinic cycle

被引：11
|
作者：
Chen, Fengjuan [1 ,2 ]
Han, Maoan [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
CHAOS | 2009年 / 19卷 / 04期
关键词：
STRANGE ATTRACTORS;
D O I：
10.1063/1.3263945
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study rank one chaos in a class of planar systems with heteroclinic cycle. We first find a stable limit cycle inside the heteroclinic cycle. We then add an external periodic forcing to create rank one chaos. We follow a step-by-step procedure guided by the theory of rank one chaos to find experimental evidence of strange attractors with Sinai, Ruelle, and Bowen measures. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3263945]
引用
收藏
页数：5
相关论文
共 50 条
  • [41] CLASS OF PLANAR DYNAMICAL SYSTEMS
    KNIGHT, RA
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 414 - &
  • [42] Mixing on a class of rank-one transformations
    Creutz, D
    Silva, CE
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2004, 24 : 407 - 440
  • [43] A Class of Hyperspace Systems and Distributional Chaos
    Wang Wei
    Zhu Xiaogang
    APPLIED MECHANICS, MATERIALS AND MANUFACTURING IV, 2014, 670-671 : 1570 - 1572
  • [44] Bifurcation of a class of planar non-Hamiltonian integrable systems with one center and one homoclinic loop
    Yu, JA
    Li, CZ
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (01) : 227 - 243
  • [45] Heteroclinic chaos detecting in dissipative mechanical systems: Chaotic regimes of compound nanosatellites dynamics
    Doroshin, Anton V.
    Eremenko, Alexandr V.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 127
  • [46] Melnikov-type method for a class of planar hybrid piecewise-smooth systems with impulsive effect and noise excitation: Heteroclinic orbits
    Wei, Zhouchao
    Li, Yuxi
    Moroz, Irene
    Zhang, Wei
    CHAOS, 2022, 32 (10)
  • [47] Heteroclinic motions joining almost periodic solutions for a class of Lagrangian systems
    Alessio, F
    Carminati, C
    Montecchiari, P
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 1999, 5 (03) : 569 - 584
  • [48] Heteroclinic cycles in a class of 3-dimensional piecewise affine systems
    Wang, Lei
    Yang, Xiao-Song
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 23 : 44 - 60
  • [49] Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop
    Liu, Yuanyuan
    Li, Feng
    Dang, Pei
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (02):
  • [50] EXACT HETEROCLINIC CYCLE FAMILY AND QUASI-PERIODIC SOLUTIONS FOR THE THREE-DIMENSIONAL SYSTEMS DETERMINED BY CHAZY CLASS IX
    Li, Jibin
    Zhao, Xiaohua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (05): : 1357 - 1367
12345