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On the reduction to canonical form of a dynamical system in the neighborhood of a smooth invariant torus
A. M. Samoilenko
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
Citation:
A. M. Samoilenko, “On the reduction to canonical form of a dynamical system in the neighborhood of a smooth invariant torus”, Izv. Akad. Nauk SSSR Ser. Mat., 36:1 (1972), 209–233; Math. USSR-Izv., 6:1 (1972), 211–234
Linking options:
https://www.mathnet.ru/eng/im2294https://doi.org/10.1070/IM1972v006n01ABEH001871 https://www.mathnet.ru/eng/im/v36/i1/p209
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Abstract page: | 254 | Russian version PDF: | 90 | English version PDF: | 10 | References: | 41 | First page: | 1 |
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