We prove upper and lower bounds on the splitting for a class of a-priori stable Hamiltonian systems, in regions of the phase space characterized by one fast frequency. Finally using an appropriate Normal Form theorem we prove the existence of chains of heteroclinic intersections.
Exponentially small splitting and Arnold diffusion for multiple time scale system / Procesi, M.. - In: REVIEWS IN MATHEMATICAL PHYSICS. - ISSN 0129-055X. - STAMPA. - 15:4(2003), pp. 339-386. [10.1142/S0129055X03001655]
Exponentially small splitting and Arnold diffusion for multiple time scale system
2003
Abstract
We prove upper and lower bounds on the splitting for a class of a-priori stable Hamiltonian systems, in regions of the phase space characterized by one fast frequency. Finally using an appropriate Normal Form theorem we prove the existence of chains of heteroclinic intersections.File in questo prodotto:
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