Randomness in Deterministic Dynamical Systems and Applications

Financiador

Organização

Publicações

Hamiltonian suspension of perturbed Poincaré sections and an application

Publication . Bessa, Mário; Dias, João Lopes

We 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.

2014Artigo científico

Acesso restrito

Ver mais

Entidade financiadora

Fundação para a Ciência e a Tecnologia

Programa de financiamento

3599-PPCDT

Número da atribuição

PTDC/MAT/105448/2008