Exponentially Small Splitting Of Invariant Manifolds Of Parabolic Points
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Exponentially Small Splitting of Invariant Manifolds of Parabolic Points
Author: Inmaculada Baldom
language: en
Publisher: American Mathematical Soc.
Release Date: 2003-12-17
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 fixed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connection associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincare-Melnikov function.
Exponentially Small Splitting of Invariant Manifolds of Parabolic Points
Author: Inmaculada Baldomá
language: en
Publisher: American Mathematical Society(RI)
Release Date: 2014-09-11