Upper bounds on Arnold diffusion times via Mather theory

Ugo Bessi, Luigi Chierchia, Enrico Valdinoci

Research output: Contribution to journalArticle

36 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)105-129
Number of pages25
JournalJournal des Mathematiques Pures et Appliquees
Volume80
Issue number1
DOIs
Publication statusPublished - 1 Jan 2001
Externally publishedYes

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Arnold Diffusion
Upper bound
Hamiltonians
Homoclinic
Ladders
Hamiltonian Systems
Torus

Cite this

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Upper bounds on Arnold diffusion times via Mather theory. / Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico.

In: Journal des Mathematiques Pures et Appliquees, Vol. 80, No. 1, 01.01.2001, p. 105-129.

Research output: Contribution to journalArticle

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AU - Chierchia, Luigi

AU - Valdinoci, Enrico

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KW - Variational connecting orbits

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