On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus
Izvestiya. Mathematics , Tome 6 (1972) no. 1, pp. 211-234

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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.
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     title = {On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus},
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A. M. Samoilenko. On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus. Izvestiya. Mathematics , Tome 6 (1972) no. 1, pp. 211-234. http://geodesic.mathdoc.fr/item/IM2_1972_6_1_a5/