Upper bounds on Arnold diffusion times via Mather theory

Authors
Bessi, U Chierchia, L Valdinoci, E
Citation
U. Bessi et al., Upper bounds on Arnold diffusion times via Mather theory, J MATH P A, 80(1), 2001, pp. 105-129
Citations number
20
Categorie Soggetti
Mathematics
Journal title
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN journal
00217824 → ACNP
Volume
80
Issue
1
Year of publication
2001
Pages
105 - 129
Database
ISI
SICI code
0021-7824(200101/02)80:1<105:UBOADT>2.0.ZU;2-D
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 b ounded by a power of the homoclinic splitting. (C) 2001 Editions scientifiq ues et medicales Elsevier SAS.