On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems
type: Item
instance of: scholarly article
title: On the existence of homoclinic orbits in some class of three-dimensional piecewise affine systems
zbMATH Open document ID: 1413.37012
author: Yanli Chen
author: Tiantian Wu
author: Xiao-Song Yang
published in: Computational and Applied Mathematics
publication date: 2019-01-29T00:00:00Z
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 70K44
zbMATH DE Number: 7007452
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: chaos
zbMATH Keywords: piecewise affine systems
MaRDI profile type: Publication
full work available at URL: s40314-018-0659-6
OpenAlex ID: W2848018424
cites work: Piecewise-smooth dynamical systems. Theory and applications
cites work: Impacts in mechanical systems. Analysis and modelling. Papers from the Euromech Colloquium 397, Grenoble, France, June 30--July 2, 1999
cites work: Food chain chaos due to Shilnikov’s orbit
cites work: Chaos in three-dimensional hybrid systems and design of chaos generators
cites work: Control of chaos in a piecewise smooth nonlinear system
cites work: Dynamics and bifurcations of non-smooth mechanical systems
cites work: HORSESHOES NEAR HOMOCLINIC ORBITS FOR PIECEWISE LINEAR DIFFERENTIAL SYSTEMS IN ℝ3
cites work: Homoclinic orbits in a piecewise system and their relation with invariant sets
cites work: BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
cites work: The existence of homoclinic orbits to saddle-focus
cites work: Q5509205
cites work: A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
cites work: Q4947577
cites work: Q3219511
cites work: Introduction to Applied Nonlinear Dynamical Systems and Chaos
cites work: The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof
cites work: A new class of 3-dimensional piecewise affine systems with homoclinic orbits
cites work: Q4435200
Wikidata QID: Q129490139
DOI: 10.1007/S40314-018-0659-6
description: scientific article; zbMATH DE number 7007452