Publication
Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
| dc.contributor.author | Amaro, Dinis | |
| dc.contributor.author | Bessa, Mário | |
| dc.contributor.author | Vilarinho, Helder | |
| dc.date.accessioned | 2024-11-08T10:10:02Z | |
| dc.date.available | 2024-11-08T10:10:02Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In 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. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/s00030-024-00931-w | pt_PT |
| dc.identifier.issn | 1021-9722 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/16745 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer Nature | pt_PT |
| dc.relation | Centre of Mathematics of the University of Porto | |
| dc.relation | Means and Extremes in Dynamical Systems | |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00030-024-00931-w | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | 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 | Second order linear homogeneous differential equations | pt_PT |
| dc.title | Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters | 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 | 19 | pt_PT |
| oaire.citation.issue | 3 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Nonlinear Differential Equations and Applications NoDEA | pt_PT |
| oaire.citation.volume | 31 | 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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