Snapback repellers and homoclinic orbits for multi-dimensional maps
type: Item
instance of: scholarly article
title: Snapback repellers and homoclinic orbits for multi-dimensional maps
zbMATH Open document ID: 1247.37024
author: Kang-Ling Liao
author: Chih-Wen Shih
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-10-21T00:00:00Z
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5960939
zbMATH Keywords: snapback repeller
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: chaos
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.08.011
OpenAlex ID: W2051224198
cites work: Dynamical behaviors in a two-dimensional map
cites work: Chaos and asymptotical stability in discrete-time neural networks
cites work: Global searching ability of chaotic neural networks
cites work: Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
cites work: Transversal homoclinic orbits in a transiently chaotic neural network
cites work: Occurrence of Chaos in Higher-Dimensional Discrete-Time Systems
cites work: Matrix Analysis
cites work: Q4303969
cites work: An improved version of the Marotto theorem
cites work: Topological entropy for multidimensional perturbations of snap-back repellers and one-dimensional maps
cites work: A simple proof for persistence of snap-back repellers
cites work: Snap-back repellers imply chaos in \(\mathbb{R}^n\)
cites work: On redefining a snap-back repeller
cites work: Numerical computation of orbits and rigorous verification of existence of snapback repellers
cites work: TOPOLOGICAL STRUCTURE OF CHAOS IN DISCRETE-TIME NEURAL NETWORKS WITH GENERALIZED INPUT–OUTPUT FUNCTION
DOI: 10.1016/J.JMAA.2011.08.011
Recommended article: The snapback repellers for chaos in multi-dimensional maps
Recommended article: Critical homoclinic orbits lead to snap-back repellers
Recommended article: Structure stability of maps with snap-back repellers in Banach spaces
Recommended article: On the bifurcation from critical homoclinic orbits in \(N\)-dimensional maps
Recommended article: HOMOCLINIC ORBITS BIFURCATIONS OF ONE- AND TWO-DIMENSIONAL MAPS
Recommended article: Homoclinic orbits of invertible maps
Recommended article: Homoclinic orbits of non-autonomous maps and their approximation
Recommended article: Snaking of Multiple Homoclinic Orbits in Reversible Systems
Recommended article: Snapback repellers and semiconjugacy for iterated entire mappings. Global aspects of an old theorem of Poincaré
Recommended article: The Structural Stability of Maps with Heteroclinic Repellers
description: scientific article; zbMATH DE number 5960939