IUMJ

Title: Lack of integrability via viscosity solutions methods

Authors: Diogo Aguiar Gomes and Enrico Valdinoci

Issue: Volume 53 (2004), Issue 4, 1055-1072

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.