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- W1657844079 abstract "We consider a nearly integrable, non-isochronous, a-priori unstable Hamiltonian system with a (trigonometric polynomial) $O(mu)$-perturbation which does not preserve the unperturbed tori. We prove the existence of Arnold diffusion with diffusion time $T_d = O((1/ mu) log (1/ mu))$ by a variational method which does not require the existence of ``transition chains of tori'' provided by KAM theory. We also prove that our estimate of the diffusion time $T_d$ is optimal as a consequence of a general stability result proved via classical perturbation theory." @default.
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- W1657844079 date "2002-03-01" @default.
- W1657844079 modified "2023-09-23" @default.
- W1657844079 title "Optimal stability and instability results for a class of nearly integrable Hamiltonian systems" @default.
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