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2004

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96849

Exponentially small splitting of invariant manifolds of parabolic points

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http://dx.doi.org/10.1090/memo/0792

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.

Subject

Sistemes hamiltonians, Teoria ergòdica, Sistemes dinàmics diferenciables, Equacions diferencials ordinàries

Subject (English)

Hamiltonian systems, Ergodic theory, Differentiable dynamical systems, Ordinary differential equations

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Articles publicats en revistes (Matemàtiques i Informàtica)

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BALDOMÁ, Inmaculada and FONTICH, Ernest. Exponentially small splitting of invariant manifolds of parabolic points. Memoirs of the American Mathematical Society. 2004. Vol. 167, num. 792. ISSN 0065-9266. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/96849

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