Exponentially small splitting of invariant manifolds of parabolic points

Baldomá, InmaculadaFontich, Ernest, 1955-2016-04-012016-04-0120040065-9266https://hdl.handle.net/2445/96849We consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system. We suppose that the origin is a parabolic xed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connexion associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincaré-Melnikov function.application/pdfeng(c) American Mathematical Society (AMS), 2004Sistemes hamiltoniansTeoria ergòdicaSistemes dinàmics diferenciablesEquacions diferencials ordinàriesHamiltonian systemsErgodic theoryDifferentiable dynamical systemsOrdinary differential equationsExponentially small splitting of invariant manifolds of parabolic pointsinfo:eu-repo/semantics/article5231162016-04-01info:eu-repo/semantics/openAccess