Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems |
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| Authors: | N. T. Zung |
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| Affiliation: | (1) Institut de Mathématiques de Toulouse, Université Toulouse III, 118 Route de Narbonne, 31062 Toulouse, France |
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| Abstract: | In this paper we show that, if an integrable Hamiltonian system admits a nondegenerate hyperbolic singularity then it will satisfy the Kolmogorov condegeneracy condition near that singularity (under a mild additional condition, which is trivial if the singularity contains a fixed point). |
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| Keywords: | integrable system hyperbolic singularity KAM theory Kolmogorov condition |
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