Sigma map dynamics and bifurcations
type: Item
instance of: scholarly article
title: Sigma map dynamics and bifurcations
zbMATH Open document ID: 1384.37062
DOI: 10.1134/S1560354717060107
author: Peng Zhang
published in: Regular and Chaotic Dynamics
publication date: 2018-02-28T00:00:00Z
review text: The authors consider a two-dimensional map, called sigma map, similar to the Smale horseshoe map. Its dynamics is very complex and results from the interaction of an attracting periodic orbit and the unstable manifold of a saddle fixed point. As the radius of the periodic orbit increases the attracting dynamics is proven to change from a periodic orbit to a strange chaotic attractor. Generalisations are discussed and numerical examples are given.
Mathematics Subject Classification ID: 37G35
Mathematics Subject Classification ID: 37C05
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37C70
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6845460
zbMATH Keywords: discrete dynamical system
zbMATH Keywords: bifurcation
zbMATH Keywords: chaotic strange attractor
zbMATH Keywords: invariant set
zbMATH Keywords: homoclinic and heteroclinic orbit
reviewed by: Carlo Laing
MaRDI profile type: Publication
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full work available at URL: s1560354717060107
OpenAlex ID: W2773097876
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description: scientific article; zbMATH DE number 6845460