Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems

2007/06/11 by Zung, Nguyen Tien
#58F05 #58F07 #58F14 #70H05 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0706.1590

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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