N-expansive homeomorphisms with the shadowing property

dc.creatorCarvalho, B.
dc.creatorCordeiro, W.
dc.date2018-08-30T12:04:15Z
dc.date2018-08-30T12:04:15Z
dc.date2016-09-15
dc.date.accessioned2023-09-27T21:52:54Z
dc.date.available2023-09-27T21:52:54Z
dc.identifier00220396
dc.identifierhttps://doi.org/10.1016/j.jde.2016.06.003
dc.identifierhttp://www.locus.ufv.br/handle/123456789/21533
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8967532
dc.descriptionWe discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact metric spaces. For every n∈N, we exhibit an n-expansive homeomorphism, which is not (n−1)-expansive, has the shadowing property and admits an infinite number of chain-recurrent classes. We discuss some properties of the local stable (unstable) sets of n-expansive homeomorphisms with the shadowing property and use them to prove that some types of the limit shadowing property are present. This deals some direction to the problem of non-existence of topologically mixing n-expansive homeomorphisms that are not expansive.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherJournal of Differential Equations
dc.relationv. 261, n. 6, p. 3734- 3755, september 2016
dc.rightsElsevier Inc.
dc.subjectExpansive
dc.subjectn-expansive
dc.subjectShadowing
dc.subjectTransitive
dc.subjectLimit shadowing
dc.titleN-expansive homeomorphisms with the shadowing property
dc.typeArtigo


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