Title:
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Exponentially small splitting of invariant manifolds of parabolic points
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Author:
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Baldomá, Inmaculada; Fontich, Ernest, 1955-
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Sistemes hamiltonians -Teoria ergòdica -Sistemes dinàmics diferenciables -Equacions diferencials ordinàries -Hamiltonian systems -Ergodic theory -Differentiable dynamical systems -Ordinary differential equations |
Rights:
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(c) American Mathematical Society (AMS), 2004
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society (AMS)
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