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Regular and Chaotic Dynamics, 2007, Volume 12, Issue 6, Pages 680–688
DOI: https://doi.org/10.1134/S156035470706010X (Mi rcd648) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the 65th birthday of R.Cushman

Kolmogorov Condition near Hyperbolic Singularities of Integrable Hamiltonian Systems

N.T. Zung

Institut de Mathématiques de Toulouse, Université Toulouse III, 118 Route de Narbonne, 31062 Toulouse, France
Full-text PDF Citations (1)
DOI: https://doi.org/10.1134/S156035470706010X
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: integrable system, hyperbolic singularity, KAM theory, Kolmogorov condition.
Received: 11.06.2007
Accepted: 05.10.2007
Bibliographic databases:
Document Type: Personalia
MSC: 58F14, 58F07, 58F05, 70H05
Language: English
Citation: N.T. Zung, “Kolmogorov Condition near Hyperbolic Singularities of Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 12:6 (2007), 680–688
Citation in format AMSBIB
\Bibitem{Zun07}
\by N.T. Zung
\paper Kolmogorov Condition near Hyperbolic Singularities of Integrable Hamiltonian Systems
\jour Regul. Chaotic Dyn.
\yr 2007
\vol 12
\issue 6
\pages 680--688
\mathnet{http://mi.mathnet.ru/rcd648}
\crossref{https://doi.org/10.1134/S156035470706010X}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2373157}
\zmath{https://zbmath.org/?q=an:1229.70050}
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