Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAmaro, Dinis-
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorVilarinho, Helder-
Data de aceite: dc.date.accessioned2025-08-21T15:12:04Z-
Data de disponibilização: dc.date.available2025-08-21T15:12:04Z-
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/10400.2/16744-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/16744-
Descrição: dc.descriptionWe consider a probability space M on which an ergodic flow is defined. We study a family of continuous-time linear cocycles, referred to as kinetic, that are associated with solutions of the second-order linear homogeneous differential equation . Our main result states that for a generic subset of kinetic continuous-time linear cocycles, where generic means a Baire second category with respect to an -like topology on the infinitesimal generator, the Lyapunov spectrum is trivial.-
Descrição: dc.descriptionDA and HV were partially supported by FCT - Fundação para a Ciência e a Tecnologia, through Centro de Matemática e Aplicações (CMA-UBI), Universidade da Beira Interior, project UID/00212/2020. MB was partially supported by CMUP, which is financed by national funds through FCT-Fundação para a Ciência e a Tecnologia, I.P., under the project with reference UIDB/00144/2020 and also partially supported by the Project ‘Means and Extremes in Dynamical Systems’ (PTDC/MAT-PUR/4048/2021).-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherElsevier-
Relação: dc.relationCentre of Mathematics of the University of Porto-
Relação: dc.relationMeans and Extremes in Dynamical Systems-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/pii/S0022039623006836-
Direitos: dc.rightshttp://creativecommons.org/licenses/by-nc-nd/4.0/-
Palavras-chave: dc.subjectKinetic cocycles-
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.subjectRandom dynamical systems-
Título: dc.titleGenericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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