Heteroclinic tangles in time-periodic equations
type: Item
instance of: scholarly article
title: Heteroclinic tangles in time-periodic equations
zbMATH Open document ID: 1268.37035
author: Ali Oksasoglu
author: Qiudong Wang
author: Feng-Juan Chen
published in: Journal of Differential Equations
publication date: 2013-01-18T00:00:00Z
review text: The authors study the dynamics of heteroclinic tangles, which can be applied to the analysis of various specific differential equations. The authors prove that when a heteroclinic loop is periodically perturbed, three types of heteroclinic tangles appear, namely: transient heteroclinic tangles which do not contain Gibbs measures; heteroclinic tangles dominated by sinks which present stable dynamical behavior; heteroclinic tangles with strange attractors which admit SRB measures representing chaos. Numerical explorations of the dynamics of heteroclinic tangles are presented as well. An application of the theoretical and numerical results is given in the example.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 37C29
zbMATH DE Number: 6126881
zbMATH Keywords: heteroclinic tangles
zbMATH Keywords: time-periodic differential equations
zbMATH Keywords: chaotic dynamics
zbMATH Keywords: separatrix maps
MaRDI profile type: Publication
full work available at URL: j.jde.2012.10.010
OpenAlex ID: W2074364511
DOI: 10.1016/J.JDE.2012.10.010
description: scientific article; zbMATH DE number 6126881