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Sbornik: Mathematics, 2016, Volume 207, Issue 4, Pages 490–518
DOI: https://doi.org/10.1070/SM8491 (Mi sm8491) 		 
This article is cited in 8 scientific papers (total in 8 papers)

The annulus principle in the existence problem for a hyperbolic strange attractor

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a P.G. Demidov Yaroslavl State University
b Lomonosov Moscow State University
English version PDF (635 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/SM8491
Abstract: A certain special class of diffeomorphisms of an ‘annulus’ (equal to the Cartesian product of a ball in $\mathbb R^k$, $k\geqslant 2$, and a circle) is investigated. The so-called annulus principle is established, that is, a list of sufficient conditions ensuring that each diffeomorphism in this class has a strange hyperbolic attractor of Smale-Williams solenoid type is given.
Bibliography: 20 titles.
Keywords: annulus principle, hyperbolic attractor, invariant foliation, solenoid, topological mixing.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04066a
Ministry of Education and Science of the Russian Federation 1.1875.2014/K
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 15-01-04066a) and project no. 1.1875.2014 in the project part of State Task no. 2014/258 for research at Yaroslavl' State University.
Received: 16.02.2015
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: 37D45
Language: English
Original paper language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The annulus principle in the existence problem for a hyperbolic strange attractor”, Sb. Math., 207:4 (2016), 490–518
Citation in format AMSBIB
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\paper The annulus principle in the existence problem for a~hyperbolic strange attractor
\jour Sb. Math.
\yr 2016
\vol 207
\issue 4
\pages 490--518
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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