We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Hamiltonian systems with a (trigonometric polynomial) perturbation which does not preserve the unperturbed tori. We prove the existence of diffusion orbits with the optimal diffusion time. The approach is variational in nature.
Optimal stability and instability results for a class of nearly integrable Hamiltonian systems / Berti, Massimiliano; Biasco, L. BOLLE P.. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 13:2(2002), pp. 77-84.
Optimal stability and instability results for a class of nearly integrable Hamiltonian systems
BERTI, MASSIMILIANO;
2002
Abstract
We present new Arnold diffusion results for non-isochronous, nearly integrable, a-priori unstable Hamiltonian systems with a (trigonometric polynomial) perturbation which does not preserve the unperturbed tori. We prove the existence of diffusion orbits with the optimal diffusion time. The approach is variational in nature.File in questo prodotto:
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