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.
Lack of integrability via viscosity solution methods / D.A. Gomes, E. Valdinoci. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 53:4(2004), pp. 1055-1071.
Lack of integrability via viscosity solution methods
E. ValdinociPrimo
2004
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.
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