Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAmaro, Dinis-
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorVilarinho, Helder-
Data de aceite: dc.date.accessioned2025-08-21T15:14:30Z-
Data de disponibilização: dc.date.available2025-08-21T15:14:30Z-
Data de envio: dc.date.issued2024-11-07-
Data de envio: dc.date.issued2024-11-07-
Data de envio: dc.date.issued2023-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/16745-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/16745-
Descrição: dc.descriptionIn the present paper we prove that densely, with respect to an Lp-like topology, the Lyapunov exponents associated to linear continuous-time cocycles induced by second order linear homogeneous differential equations are almost everywhere distinct. The coefficients evolve along the orbit for an ergodic flow defined on a probability space. We also obtain the corresponding version for the frictionless equation and for a Schrödinger equation.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer Nature-
Relação: dc.relationCentre of Mathematics of the University of Porto-
Relação: dc.relationMeans and Extremes in Dynamical Systems-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s00030-024-00931-w-
Direitos: dc.rightshttp://creativecommons.org/licenses/by/4.0/-
Palavras-chave: dc.subjectLinear cocycles-
Palavras-chave: dc.subjectLinear differential systems-
Palavras-chave: dc.subjectMultiplicative ergodic theorem-
Palavras-chave: dc.subjectLyapunov exponents-
Palavras-chave: dc.subjectSecond order linear homogeneous differential equations-
Título: dc.titleSimple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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