Dense area-preserving homeomorphisms have zero Lyapunov exponents

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorM. Silva, César-
Data de aceite: dc.date.accessioned2025-08-22T11:49:18Z-
Data de disponibilização: dc.date.available2025-08-22T11:49:18Z-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2023-05-25-
Data de envio: dc.date.issued2012-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13832-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13832-
Descrição: dc.descriptionWe give a new definition (different from the one in [14]) for a Lyapunov exponent (called new Lyapunov exponent) associated to a continuous map. Our first result states that these new exponents coincide with the usual Lyapunov exponents if the map is differentiable. Then, we apply this concept to prove that there exists a C0-dense subset of the set of the area-preserving homeomorphisms defined in a compact, connected and boundaryless surface such that any element inside this residual subset has zero new Lyapunov exponents for Lebesgue almost every point. Finally, we prove that the function that associates an area-preserving homeomorphism, equipped with the C0-topology, to the integral (with respect to area) of its top new Lyapunov exponent over the whole surface cannot be upper-semicontinuous.-
Descrição: dc.descriptionMB was partially supported by FCT - Fundação para a Ciência e a Tecnologia through CMUP (SFRH/BPD/20890/2004) and CS was partially supported by FCT through CMUBI (FCT/POCI2010/FEDER). CS would like to thank Luís Barreira for fruitful conversations aiming the definition of the exponents for continuous transformations.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherAIMS-
Relação: dc.relationABUNDÂNCIA DE EXPOENTES DE IYAPUNOV ZERO EM SISTEMAS CONSERVATIVOS A TEMPO CONTÍNUO-
Relação: dc.relationhttps://www.aimsciences.org/article/doi/10.3934/dcds.2012.32.1231-
Palavras-chave: dc.subjectArea-preserving homeomorphisms-
Palavras-chave: dc.subjectLyapunov exponents-
Palavras-chave: dc.subjectTopological dynamics-
Título: dc.titleDense area-preserving homeomorphisms have zero Lyapunov exponents-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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