Publication
Plenty of hyperbolicity on a class of linear homogeneous jerk differential equations
| dc.contributor.author | Bessa, Mário | |
| dc.date.accessioned | 2023-05-31T11:58:10Z | |
| dc.date.available | 2023-05-31T11:58:10Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We consider 3×3 partially hyperbolic linear differential systems over an ergodic flow X^t and derived from the linear homogeneous differential equation x''(t)+β(X^t(t))x'(t)+ γ(t)x(t) = 0. Assuming that the partial hyperbolic decomposition E^s ⊕ E^c ⊕ E^u is proper and displays a zero Lyapunov exponent along the central direction E^c we prove that some C^0 perturbation of the parameters β(t) and γ(t) can be done in order to obtain non-zero Lyapunov exponents and so a chaotic behaviour of the solution. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Bessa, M. Plenty of hyperbolicity on a class of linear homogeneous jerk differential equations. Aequat. Math. 97, 467–487 (2023) | pt_PT |
| dc.identifier.doi | 10.1007/s00010-023-00948-z | pt_PT |
| dc.identifier.issn | 0001-9054 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/13928 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00010-023-00948-z | pt_PT |
| dc.subject | Lyapunov exponents | pt_PT |
| dc.subject | Jerk equations | pt_PT |
| dc.subject | Partial hyperbolicity | pt_PT |
| dc.title | Plenty of hyperbolicity on a class of linear homogeneous jerk differential equations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F4048%2F2021/PT | |
| oaire.citation.endPage | 487 | pt_PT |
| oaire.citation.issue | 3 | pt_PT |
| oaire.citation.startPage | 467 | pt_PT |
| oaire.citation.title | Aequationes mathematicae | pt_PT |
| oaire.citation.volume | 97 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Bessa | |
| person.givenName | Mário | |
| person.identifier | https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT | |
| person.identifier.ciencia-id | C21A-EEC0-A3EF | |
| person.identifier.orcid | 0000-0002-1758-2225 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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