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

^*Corresponding author for this work

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

3 Scopus citations

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 (US)
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
State	Published - 2004
Externally published	Yes

Keywords

Action estimates
Converse KAM theory
Hamilton-Jacobi equation
Periodic orbits

ASJC Scopus subject areas

General Mathematics

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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",

year = "2004",

doi = "10.1512/iumj.2004.53.2464",

language = "English (US)",

volume = "53",

pages = "1055--1071",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

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T1 - Lack of integrability via viscosity solution methods

AU - Gomes, Diogo A.

AU - Valdinoci, Enrico

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N2 - 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.

AB - 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.

KW - Action estimates

KW - Converse KAM theory

KW - Hamilton-Jacobi equation

KW - Periodic orbits

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DO - 10.1512/iumj.2004.53.2464

M3 - Article

AN - SCOPUS:8844234975

SN - 0022-2518

VL - 53

SP - 1055

EP - 1071

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 4

ER -

Lack of integrability via viscosity solution methods

Abstract

Keywords

ASJC Scopus subject areas

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