Distribution of maps with transversal homoclinic orbits in a continuous map space
type: Item
instance of: scholarly article
title: Distribution of maps with transversal homoclinic orbits in a continuous map space
zbMATH Open document ID: 1223.37031
DOI: 10.1155/2011/520273
author: Qiuju Xing
author: Yuming Shi
published in: Abstract and Applied Analysis
publication date: 2011-07-22T00:00:00Z
review text: Summary: This paper is concerned with the distribution of maps with transversal homoclinic orbits in a space which consists of continuous maps defined in a closed and bounded set of a Banach space. By the transversal homoclinic theorem it is shown that this space contains a dense set of maps that have transversal homoclinic orbits and are chaotic in the sense of both Li-Yorke and Devaney with positive topological entropy.
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5930753
zbMATH Keywords: continuous maps
zbMATH Keywords: transversal homoclinic orbits
zbMATH Keywords: chaotic behaviour
Wikidata QID: Q58654264
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/520273
OpenAlex ID: W2061007629
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description: scientific article; zbMATH DE number 5930753