On the fundamental regions of a fixed point free conservative Hénon map

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorRocha, Jorge-
Data de aceite: dc.date.accessioned2025-08-22T11:45:32Z-
Data de disponibilização: dc.date.available2025-08-22T11:45:32Z-
Data de envio: dc.date.issued2023-05-24-
Data de envio: dc.date.issued2023-05-24-
Data de envio: dc.date.issued2008-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13828-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13828-
Descrição: dc.descriptionIt is well known that an orientation-preserving homeomorphism of the plane without fixed points has trivial dynamics; that is, its non-wandering set is empty and all the orbits diverge to infinity. However, orbits can diverge to infinity in many different ways (or not) giving rise to fundamental regions of divergence. Such a map is topologically equivalent to a plane translation if and only if it has only one fundamental region. We consider the conservative, orientation-preserving and fixed point free Hénon map and prove that it has only one fundamental region of divergence. Actually, we prove that there exists an area-preserving homeomorphism of the plane that conjugates this Hénon map to a translation.-
Descrição: dc.descriptionThe first author was supported by FCT-FSE, SFRH/BPD/20890/2004. The second author was partially supported by FCT-POCTI/MAT/61237/2004-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherCambridge University Press-
Relação: dc.relationABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO-
Relação: dc.relationhttps://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/on-the-fundamental-regions-of-a-fixed-point-free-conservative-henon-map/6589D7D65088F8721387C4C8BBCE6DE3-
Palavras-chave: dc.subjectFree maps of the plane-
Palavras-chave: dc.subjectHénon map-
Palavras-chave: dc.subjectArea-preserving maps-
Palavras-chave: dc.subjectTopological conjugacy-
Palavras-chave: dc.subjectFundamental regions-
Título: dc.titleOn the fundamental regions of a fixed point free conservative Hénon map-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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