Lack of integrability via viscosity solution methods

Diogo A. Gomes; Enrico Valdinoci

doi:10.1512/iumj.2004.53.2464

Lack of integrability via viscosity solution methods

Diogo A. Gomes, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	1055-1071
Number of pages	17
Journal	Indiana University Mathematics Journal
Volume	53
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2004.53.2464
Publication status	Published - 1 Dec 2004
Externally published	Yes

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10.1512/iumj.2004.53.2464

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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",

author = "Gomes, {Diogo A.} and Enrico Valdinoci",

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KW - Periodic orbits

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JF - Indiana University Mathematics Journal

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Lack of integrability via viscosity solution methods

Abstract

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