On the periodic orbits, shadowing and strong transitivity of continuous flows

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorTorres, Maria Joana-
Autor(es): dc.creatorVarandas, Paulo-
Data de aceite: dc.date.accessioned2025-08-21T15:26:34Z-
Data de disponibilização: dc.date.available2025-08-21T15:26:34Z-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2018-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13864-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13864-
Descrição: dc.descriptionWe prove that chaotic flows (i.e. flows that satisfy the shadowing property and have a dense subset of periodic orbits) satisfy a reparametrized gluing orbit property similar to the one introduced in Bomfim and Varandas (2015). In particular, these are strongly transitive in balls of uniform radius. We also prove that the shadowing property for a flow and a generic time-t map, and having a dense subset of periodic orbits hold for a C0-Baire generic subset of Lipschitz vector fields, that generate continuous flows. Similar results also hold for C0-generic homeomorphisms and, in particular, we deduce that chain recurrent classes of C0-generic homeomorphisms have the gluing orbit property.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationCenter of Mathematics and Applications of University of Beira Interior-
Relação: dc.relationCentre of Mathematics of the University of Minho-
Palavras-chave: dc.subjectGluing orbit property-
Palavras-chave: dc.subjectShadowing-
Palavras-chave: dc.subjectPeriodic orbits-
Título: dc.titleOn the periodic orbits, shadowing and strong transitivity of continuous flows-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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