Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 52-59
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Yu. S. Ilyashenko. The dimension of attractors of $k$-contracting systems in an infinite-dimensional space. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 52-59. http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a9/
@article{VMUMM_1983_3_a9,
author = {Yu. S. Ilyashenko},
title = {The dimension of attractors of $k$-contracting systems in an infinite-dimensional space},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {52--59},
year = {1983},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a9/}
}
TY - JOUR
AU - Yu. S. Ilyashenko
TI - The dimension of attractors of $k$-contracting systems in an infinite-dimensional space
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 52
EP - 59
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a9/
LA - ru
ID - VMUMM_1983_3_a9
ER -
%0 Journal Article
%A Yu. S. Ilyashenko
%T The dimension of attractors of $k$-contracting systems in an infinite-dimensional space
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 52-59
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a9/
%G ru
%F VMUMM_1983_3_a9
An upper estimate is given for the Hausdorff dimension of attractors of non-linear semigroups in Hilbert space, the transformations of the semigroup are contracting $k$-dimensional volumes. It is proved that this dimension does not exceed $k$.
