Publication Date:
2001
Citation:
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.
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.
IRIS type:
01 - Articolo su periodico
Keywords:
Hamiltonian systems; Arnold diffusion; Mather theory; shadowing orbits; heteroclinic orbits; variational connecting orbits; instability times
List of contributors:
U. Bessi, L. Chierchia, E. Valdinoci
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