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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 82, Issue 1, Pages 135–174
DOI: https://doi.org/10.1070/SM1995v082n01ABEH003556 (Mi sm901) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Hyperbolic attractors of diffeomorphisms of orientable surfaces

A. Yu. Zhirov

Gagarin Air Force Academy
English version PDF (2388 kB) Citations (17) Russian version article
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DOI: https://doi.org/10.1070/SM1995v082n01ABEH003556
Abstract: A method is proposed for describing combinatorially the one-dimensional hyperbolic attractors of diffeomorphisms of orientable surfaces and the corresponding pseudo-Anosov diffeomorphisms. Using this method a new invariant of topological conjugacy is introduced. The set of values of this invariant admits an effective enumeration.
Received: 27.04.1993
Bibliographic databases:
UDC: 517.938.5
MSC: Primary 58F12, 58F15; Secondary 57N05, 54F15, 57R65
Language: English
Original paper language: Russian
Citation: A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 135–174
Citation in format AMSBIB
\Bibitem{Zhi94}
\by A.~Yu.~Zhirov
\paper Hyperbolic attractors of diffeomorphisms of orientable surfaces
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 1
\pages 135--174
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\crossref{https://doi.org/10.1070/SM1995v082n01ABEH003556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1280395}
\zmath{https://zbmath.org/?q=an:0854.58029}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RR54800007}
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  • https://www.mathnet.ru/eng/sm/v185/i6/p3
    Cycle of papers
    This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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