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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 1, Pages 211–234
DOI: https://doi.org/10.1070/IM1972v006n01ABEH001871 (Mi im2294) 		 
On the reduction to canonical form of a dynamical system in the neighborhood of a smooth invariant torus

A. M. Samoilenko
English version PDF (1009 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1972v006n01ABEH001871
Abstract: We construct an iterative process for determining a transformation that transforms a given dynamical system in the vicinity of a smooth torus to canonical form. Necessary conditions (and also sufficient conditions) for reducibility are given.
Received: 27.01.1970
Bibliographic databases:
UDC: 517.9
MSC: 34C35, 34C30
Language: English
Original paper language: Russian
Citation: A. M. Samoilenko, “On the reduction to canonical form of a dynamical system in the neighborhood of a smooth invariant torus”, Math. USSR-Izv., 6:1 (1972), 211–234
Citation in format AMSBIB
\Bibitem{Sam72}
\by A.~M.~Samoilenko
\paper On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 1
\pages 211--234
\mathnet{http://mi.mathnet.ru//eng/im2294}
\crossref{https://doi.org/10.1070/IM1972v006n01ABEH001871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=294815}
\zmath{https://zbmath.org/?q=an:0309.34031}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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