The relation between the Kolmogorov-Arnold-Moser theory of the non resonant motions in nearly integrable Hamiltonian systems and the renormalization group methods is pointed out. It is followed by a very detailed proof of a version of the KAM theorem based on dimensional estimates (in which no attention is paid to obtaining best constants).
Perturbation Theory for Classical Hamiltonian Systems / Gallavotti, Giovanni. - STAMPA. - (1985), pp. 359-426.
Perturbation Theory for Classical Hamiltonian Systems
GALLAVOTTI, Giovanni
1985
Abstract
The relation between the Kolmogorov-Arnold-Moser theory of the non resonant motions in nearly integrable Hamiltonian systems and the renormalization group methods is pointed out. It is followed by a very detailed proof of a version of the KAM theorem based on dimensional estimates (in which no attention is paid to obtaining best constants).File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
