Hamiltonian suspension of perturbed Poincaré sections and an application

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorBessa, Mário-
Autor(es): dc.creatorDias, João Lopes-
Data de aceite: dc.date.accessioned2025-08-22T11:46:20Z-
Data de disponibilização: dc.date.available2025-08-22T11:46:20Z-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2023-05-26-
Data de envio: dc.date.issued2014-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/13861-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/13861-
Descrição: dc.descriptionWe 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.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherCambridge University Press-
Relação: dc.relationStrategic Project - UI 212 - 2011-2012-
Relação: dc.relationNonuniformly Hyperbolic Dynamics-
Relação: dc.relationRandomness in Deterministic Dynamical Systems and Applications-
Título: dc.titleHamiltonian suspension of perturbed Poincaré sections and an application-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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