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

页数：5

共 50 条

[31] Bifurcations of limit cycles from a heteroclinic cycle of Hamiltonian systems
Han, MA
CHINESE ANNALS OF MATHEMATICS SERIES B, 1998, 19 (02) : 189 - 196
[32] BIFURCATIONS OF LIMIT CYCLES FROM A HETEROCLINIC CYCLE OF HAMILTONIAN SYSTEMS
HAN MAOAN *
Chinese Annals of Mathematics, 1998, (02) : 57 - 64
[33] Homoclinic and heteroclinic solutions for a class of two dimensional Hamiltonian systems
Lenci, S
Lupini, R
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1996, 47 (01): : 97 - 111
[34] The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits
Xu, Han
Jin, Yinlai
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2016, 2016
[35] Chaos as the hub of systems dynamics. The part I--The attitude control of spacecraft by involving in the heteroclinic chaos
Doroshin, Anton V.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 59 : 47 - 66
[36] SYSTEMS LOCAL OF RANK ONE
FERENCZI, S
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1984, 20 (01): : 35 - 51
[37] Existence of homoclinic orbits and heteroclinic cycle in a class of three-dimensional piecewise linear systems with three switching manifolds
Zhu, Bin
Wei, Zhouchao
Escalante-Gonzalez, R. J.
Kuznetsov, Nikolay V.
CHAOS, 2020, 30 (12)
[38] Limit cycles and chaos in planar hybrid systems
Llibre, Jaume
Santana, Paulo
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 140
[39] One class of planar rational involutions
Lesniak, Zbigniew
Shi, Yong-Guo
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6097 - 6104
[40] ONE CLASS OF THE HAMILTONIAN PLANAR GRAPHS
SARVANOV, VI
DOKLADY AKADEMII NAUK BELARUSI, 1980, 24 (09): : 792 - 794

← 1 2 3 4 5 →