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. Valdinoci
Ultimo
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.
Hamiltonian systems; Arnold diffusion; Mather theory; shadowing orbits; heteroclinic orbits; variational connecting orbits; instability times
Settore MAT/05 - Analisi Matematica
2001
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/472857
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