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Regular and Chaotic Dynamics, 2001, Volume 6, Issue 2, Pages 119–204
DOI: https://doi.org/10.1070/RD2001v006n02ABEH000169 (Mi rcd837) 		 
This article is cited in 137 scientific papers (total in 137 papers)

Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems

H. Rüssmann

Fachbereich Mathematik, Universität Mainz, 55099 Mainz, Germany
Citations (137)
DOI: https://doi.org/10.1070/RD2001v006n02ABEH000169
Abstract: Invariant tori for analytic nearly integrable Hamiltonian systems are constructed under rather weak sufficient conditions being even necessary in the case of maximal invariant tori. All small devisors are controlled by a general approximation function the properties of which correspond to the Bruno condition in analytic problems near a singular point. The admitted size of the perturbations is numerically determined in numerically given systems.
Received: 10.03.2001
Bibliographic databases:
Document Type: Article
MSC: 34C27, 37J40, 70H08
Language: English
Citation: H. Rüssmann, “Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems”, Regul. Chaotic Dyn., 6:2 (2001), 119–204
Citation in format AMSBIB
\Bibitem{Rus01}
\by H. R\"ussmann
\paper Invariant Tori in Non-Degenerate Nearly Integrable Hamiltonian Systems
\jour Regul. Chaotic Dyn.
\yr 2001
\vol 6
\issue 2
\pages 119--204
\mathnet{http://mi.mathnet.ru/rcd837}
\crossref{https://doi.org/10.1070/RD2001v006n02ABEH000169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1843664}
\zmath{https://zbmath.org/?q=an:0992.37050}
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  • https://www.mathnet.ru/eng/rcd/v6/i2/p119
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    This publication is cited in the following 137 articles:
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