Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles-Reference-Cited by-同舟云学术

Horseshoes in 4-dimensional piecewise affine systems with bifocal heteroclinic cycles

Published:2018-11 Issue:11 Volume:28 Page:113120
ISSN:1054-1500
Container-title:Chaos: An Interdisciplinary Journal of Nonlinear Science
language:en
Short-container-title:Chaos

Author:

Wu Tiantian¹,Yang Xiao-Song²

Affiliation:

1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, China

2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China and Hubei Key Laboratory of Engineering Modeling and Scientific Computing, Huazhong University of Science and Technology, Wuhan 430074, China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5028483

Reference28 articles.

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

2. Route to chaos and some properties in the boundary crisis of a generalized logistic mapping

3. HORSESHOE CHAOS IN A HYBRID PLANAR DYNAMICAL SYSTEM

4. Homoclinic orbits and chaos in three– and four–dimensional flows

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Coexistence of singular cycles in a class of three-dimensional piecewise affine systems;Computational and Applied Mathematics;2024-06-20

2. Invariant tori, topological horseshoes, and their coexistence in piecewise smooth hybrid systems;Nonlinear Dynamics;2024-06-06

3. Sliding homoclinic orbits and bifurcations of three-dimensional piecewise affine systems;Nonlinear Dynamics;2023-02-16

4. Homoclinic Chaos in a Four-Dimensional Manifold Piecewise Linear System;International Journal of Bifurcation and Chaos;2022-12-15

5. Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn;International Journal of Bifurcation and Chaos;2022-08