Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1983, Number 3, Pages 52–59 (Mi vmumm3493)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The dimension of attractors of $k$-contracting systems in an infinite-dimensional space

Yu. S. Ilyashenko
Full-text PDF (1191 kB) Citations (1)
Abstract: 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 $k$.
Received: 26.11.1982
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. S. Ilyashenko, “The dimension of attractors of $k$-contracting systems in an infinite-dimensional space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3, 52–59
Citation in format AMSBIB
\Bibitem{Ily83}
\by Yu.~S.~Ilyashenko
\paper The dimension of attractors of $k$-contracting systems in an infinite-dimensional space
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1983
\issue 3
\pages 52--59
\mathnet{http://mi.mathnet.ru/vmumm3493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0705600}
\zmath{https://zbmath.org/?q=an:0524.58029}
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    • This publication is cited in the following 1 articles:
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