Publication
Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations
| dc.contributor.author | Amaro, Dinis | |
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Vilarinho, Helder | |
| dc.date.accessioned | 2024-11-08T10:01:36Z | |
| dc.date.available | 2024-11-08T10:01:36Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We 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. | pt_PT |
| dc.description.sponsorship | DA 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). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.jde.2023.10.033 | pt_PT |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/16744 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.relation | Centre of Mathematics of the University of Porto | |
| dc.relation | Means and Extremes in Dynamical Systems | |
| dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022039623006836 | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | Kinetic cocycles | pt_PT |
| dc.subject | Linear cocycles | pt_PT |
| dc.subject | Linear differential systems | pt_PT |
| dc.subject | Multiplicative ergodic theorem | pt_PT |
| dc.subject | Lyapunov exponents | pt_PT |
| dc.subject | Random dynamical systems | pt_PT |
| dc.title | Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Centre of Mathematics of the University of Porto | |
| oaire.awardTitle | Means and Extremes in Dynamical Systems | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00144%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/Concurso de Projetos IC&DT em Todos os Domínios Científicos/PTDC%2FMAT-PUR%2F4048%2F2021/PT | |
| oaire.citation.endPage | 253 | pt_PT |
| oaire.citation.startPage | 228 | pt_PT |
| oaire.citation.title | Journal of Differential Equations | pt_PT |
| oaire.citation.volume | 380 | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | Concurso de Projetos IC&DT em Todos os Domínios Científicos | |
| person.familyName | Bessa | |
| person.familyName | Soares Vilarinho | |
| person.givenName | Mário | |
| person.givenName | Hélder | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.ciencia-id | 031A-911B-26F5 | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| person.identifier.orcid | 0000-0002-9822-5341 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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