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Title: Exponentially small splitting of invariant manifolds of parabolic points
Author: Baldomá, Inmaculada
Fontich, Ernest, 1955-
Keywords: Sistemes hamiltonians
Teoria ergòdica
Sistemes dinàmics diferenciables
Equacions diferencials ordinàries
Hamiltonian systems
Ergodic theory
Differentiable dynamical systems
Ordinary differential equations
Issue Date: 2004
Publisher: American Mathematical Society (AMS)
Abstract: We 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.
Note: Reproducció del document publicat a:
It is part of: Memoirs of the American Mathematical Society, 2004, vol. 167, num. 792
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ISSN: 0065-9266
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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