TY - JOUR
T1 - Drift in phase space: a new variational mechanism with optimal diffusion time
JF - J. Math. Pures Appl. 82 (2003) 613-664
Y1 - 2003
A1 - Massimiliano Berti
A1 - Luca Biasco
A1 - Philippe Bolle
AB - We consider non-isochronous, nearly integrable, a-priori unstable Hamiltonian systems 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 derived from classical perturbation theory.
PB - Elsevier
UR - http://hdl.handle.net/1963/3020
U1 - 1313
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -