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Hamiltonian suspension of perturbed Poincaré sections and an application

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dc.contributor.authorBessa, Mário
dc.contributor.authorDias, João Lopes
dc.date.accessioned2023-05-26T10:25:53Z
dc.date.available2023-05-26T10:25:53Z
dc.date.issued2014
dc.description.abstractWe construct a Hamiltonian suspension for a given symplectomorphism which is the per- turbation of a Poincaré map. This is especially useful for the conversion of perturbative results between symplectomorphisms and Hamiltonian flows in any dimension 2d. As an application, using known properties of area-preserving maps, we prove that for any Hamiltonian defined on a symplectic 4-manifold M and any point p ∈ M, there exists a C2-close Hamiltonian whose regular energy surface through p is either Anosov or contains a homo- clinic tangency.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationM. Bessa, J. L. Dias, Hamiltonian suspension of perturbed Poincaré sections and an application, 157, 1, 101-112, 2014pt_PT
dc.identifier.doi10.1017/S0305004114000140pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/13861
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherCambridge University Presspt_PT
dc.relationStrategic Project - UI 212 - 2011-2012
dc.relationNonuniformly Hyperbolic Dynamics
dc.relationRandomness in Deterministic Dynamical Systems and Applications
dc.titleHamiltonian suspension of perturbed Poincaré sections and an applicationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleStrategic Project - UI 212 - 2011-2012
oaire.awardTitleNonuniformly Hyperbolic Dynamics
oaire.awardTitleRandomness in Deterministic Dynamical Systems and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/PEst-OE%2FMAT%2FUI0212%2F2011/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876-PPCDTI/PTDC%2FMAT%2F099493%2F2008/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT%2F105448%2F2008/PT
oaire.citation.endPage112pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage101pt_PT
oaire.citation.titleMathematical Proceedings of the Cambridge Philosophical Societypt_PT
oaire.citation.volume157pt_PT
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream5876-PPCDTI
oaire.fundingStream3599-PPCDT
person.familyNameBessa
person.familyNameLopes Dias
person.givenNameMário
person.givenNameJoão
person.identifierhttps://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT
person.identifier.ciencia-idC21A-EEC0-A3EF
person.identifier.ciencia-idA01A-369C-B7B3
person.identifier.orcid0000-0002-1758-2225
person.identifier.orcid0000-0002-2089-7308
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublicationdc04005b-3ba4-4f41-989e-e25dbb5e8ea7
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