Berti, Bolle: Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems

Berti, Massimiliano and Bolle, Philippe:
Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems (Tempo di diffusione e splitting delle separatrici per sistemi Hamiltoniani isocroni quasi-integrabili)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 11 (2000), fasc. n.4, p. 235-243, (English)
pdf (349 Kb), djvu (152 Kb). | MR1837581 | Zbl 1009.37044

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Consideriamo il problema della diffusione di Arnold per sistemi Hamiltoniani isocroni quasi-integrabili. Dimostriamo un teorema di shadowing che migliora le stime sul tempo di diffusione sinora note. Giustifichiamo inoltre, per sistemi a tre scale temporali, che lo splitting delle separatrici è correttamente previsto dalla funzione di Poincaré-Melnikov.

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Referenze Bibliografiche