On the existence of chaotic behaviour of diffeomorphisms
type: Item
instance of: scholarly article
title: On the existence of chaotic behaviour of diffeomorphisms
zbMATH Open document ID: 0789.58056
author: Michal Fečkan
published in: Applications of Mathematics
publication date: 1993-10-13T00:00:00Z
full work available at URL: https://eudml.org/doc/15739
review text: The existence of chaotic behaviour is shown for a number of mappings by slowing the existence of transversal homoclinic orbits. Results are shown analytically. The method, based on Lyapunov-Schmidt reduction is applied to ordinary differential equations with impulsive effects and two singularly perturbed mappings.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 428196
zbMATH Keywords: chaos
zbMATH Keywords: bifurcation
zbMATH Keywords: diffeomorphisms
zbMATH Keywords: homoclinic orbits
reviewed by: B. F. Gray
MaRDI profile type: Publication
cites work: Melnikov Transforms, Bernoulli Bundles, and Almost Periodic Perturbations
cites work: Q3831754
cites work: Exponential dichotomies and transversal homoclinic points
cites work: An example of bifurcation to homoclinic orbits
cites work: Bifurcation of heteroclinic orbits for diffeomorphisms
cites work: Invariant manifolds
cites work: Global bifurcations and chaos. Analytical methods
cites work: Geometric theory of semilinear parabolic equations
cites work: Mel’nikov’s Function for Two-Dimensional Mappings
description: scientific article; zbMATH DE number 428196