We consider several Hamiltonian systems for which the existence of Arnold's mechanism for diffusion (whiskered tori, transition ladder, etc.) has been proven. By means of Mather theory we show that the diffusion time may be bounded by a power of the homoclinic splitting.
Upper bounds on Arnold diffusion times via Mather theory / U. Bessi, L. Chierchia, E. Valdinoci. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - 80:1(2001), pp. 105-129.
Upper bounds on Arnold diffusion times via Mather theory
E. ValdinociUltimo
2001
Abstract
We consider several Hamiltonian systems for which the existence of Arnold's mechanism for diffusion (whiskered tori, transition ladder, etc.) has been proven. By means of Mather theory we show that the diffusion time may be bounded by a power of the homoclinic splitting.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0021782400011880-main.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
240.02 kB
Formato
Adobe PDF
|
240.02 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.