Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems
Dynamical Systems
2007-08-28 v2
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)
Keywords
Cite
@article{arxiv.0706.1590,
title = {Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems},
author = {Nguyen Tien Zung},
journal= {arXiv preprint arXiv:0706.1590},
year = {2007}
}
Comments
revised version, 11p, accepted for publication in a sepecial volume in Regular and Chaotic Dynamics in honor of Richard Cushman