Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 235-240
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A. B. Krygin. An example of a continuous flow on the torus with mixed spectrum. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 235-240. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/
@article{MZM_1974_15_2_a7,
author = {A. B. Krygin},
title = {An example of a~continuous flow on the torus with mixed spectrum},
journal = {Matemati\v{c}eskie zametki},
pages = {235--240},
year = {1974},
volume = {15},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/}
}
TY - JOUR
AU - A. B. Krygin
TI - An example of a continuous flow on the torus with mixed spectrum
JO - Matematičeskie zametki
PY - 1974
SP - 235
EP - 240
VL - 15
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/
LA - ru
ID - MZM_1974_15_2_a7
ER -
%0 Journal Article
%A A. B. Krygin
%T An example of a continuous flow on the torus with mixed spectrum
%J Matematičeskie zametki
%D 1974
%P 235-240
%V 15
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/
%G ru
%F MZM_1974_15_2_a7
In this paper an example is constructed of a flow on the torus $\dot x=\alpha F(x,y)$, $\dot y=F(x,y)$, $x$, $y\bmod1$, with continuous $F>0$ and irrational $\alpha$ which has a mixed spectrum.