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.
@article{IM2_1972_6_1_a5,
author = {A. M. Samoilenko},
title = {On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus},
journal = {Izvestiya. Mathematics },
pages = {211--234},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {1972},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_1_a5/}
}
TY - JOUR AU - A. M. Samoilenko TI - On the reduction to canonical form of a~dynamical system in the neighborhood of a~smooth invariant torus JO - Izvestiya. Mathematics PY - 1972 SP - 211 EP - 234 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1972_6_1_a5/ LA - en ID - IM2_1972_6_1_a5 ER -
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/