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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 30–40
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000045 (Mi rcd994) 		 
On the 60th birthday of V.I.Arnold

Invariant tori of intermediate dimensions in Hamiltonian systems

M. B. Sevryuk

117829, Russia, Moscow, V-334, GSP-1, Leninsky Prospect, 38, building. 2, Institute for Energy Problems of Chemical Physics RAS
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000045
Abstract: In the present paper, we survey recent results on the existence and the structure of Cantor families of invariant tori of dimensions $p>n$ in a neighborhood of families of invariant $n$-tori in Hamiltonian systems with $d \geqslant p$ degrees of freedom.
Received: 15.07.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. B. Sevryuk, “Invariant tori of intermediate dimensions in Hamiltonian systems”, Regul. Chaotic Dyn., 2:3-4 (1997), 30–40
Citation in format AMSBIB
\Bibitem{Sev97}
\by M.~B.~Sevryuk
\paper Invariant tori of intermediate dimensions in Hamiltonian systems
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 30--40
\mathnet{http://mi.mathnet.ru/rcd994}
\crossref{https://doi.org/10.1070/RD1997v002n03ABEH000045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702337}
\zmath{https://zbmath.org/?q=an:0922.58032}
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