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http://hdl.handle.net/2445/96849
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: http://dx.doi.org/10.1090/memo/0792 |
It is part of: | Memoirs of the American Mathematical Society, 2004, vol. 167, num. 792 |
URI: | http://hdl.handle.net/2445/96849 |
Related resource: | http://dx.doi.org/10.1090/memo/0792 |
ISSN: | 0065-9266 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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523116.pdf | 552.27 kB | Adobe PDF | View/Open |
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