Lack of integrability via viscosity solution methods

Diogo A. Gomes, Enrico Valdinoci

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we use viscosity solution methods to show that almost integrable Hamiltonian systems are not smoothly integrable at rotation numbers which are exponentially close to resonances.

Original languageEnglish
Pages (from-to)1055-1071
Number of pages17
JournalIndiana University Mathematics Journal
Volume53
Issue number4
DOIs
Publication statusPublished - 1 Dec 2004
Externally publishedYes

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Integrable Hamiltonian System
Rotation number
Viscosity Solutions
Integrability

Cite this

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title = "Lack of integrability via viscosity solution methods",
abstract = "In this paper we use viscosity solution methods to show that almost integrable Hamiltonian systems are not smoothly integrable at rotation numbers which are exponentially close to resonances.",
keywords = "Action estimates, Converse KAM theory, Hamilton-Jacobi equation, Periodic orbits",
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Lack of integrability via viscosity solution methods. / Gomes, Diogo A.; Valdinoci, Enrico.

In: Indiana University Mathematics Journal, Vol. 53, No. 4, 01.12.2004, p. 1055-1071.

Research output: Contribution to journalArticle

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AU - Gomes, Diogo A.

AU - Valdinoci, Enrico

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KW - Action estimates

KW - Converse KAM theory

KW - Hamilton-Jacobi equation

KW - Periodic orbits

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