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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 83, Issue 1, Pages 23–65
DOI: https://doi.org/10.1070/SM1995v083n01ABEH003579
(Mi sm924)
 

This article is cited in 16 scientific papers (total in 16 papers)

Hyperbolic attractors of diffeomorphisms of orientable surfaces

A. Yu. Zhirov

Gagarin Air Force Academy
References:
Abstract: In this second part of the article an enumeration algorithm is given for the codes of one-dimensional hyperbolic attractors of diffeomorphisms of orientable surfaces introduced in the first part. Using this algorithm new examples of diffeomorphisms with attractors and pseudo-Anosov diffeomorphisms are constructed.
Received: 27.04.1993
Bibliographic databases:
UDC: 517.938.5
MSC: Primary 58F12, 58F15; Secondary 57N05
Language: English
Original paper language: Russian
Citation: A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 23–65
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 83
\issue 1
\pages 23--65
\mathnet{http://mi.mathnet.ru/eng/sm924}
\crossref{https://doi.org/10.1070/SM1995v083n01ABEH003579}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1305755}
\zmath{https://zbmath.org/?q=an:0844.58050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10000002}
Linking options:
  • https://www.mathnet.ru/eng/sm924
  • https://doi.org/10.1070/SM1995v083n01ABEH003579
  • https://www.mathnet.ru/eng/sm/v185/i9/p29
    Cycle of papers
    This publication is cited in the following 16 articles:
    1. Grines V. Mints D., “On Interrelations Between Trivial and Nontrivial Basic Sets of Structurally Stable Diffeomorphisms of Surfaces”, Chaos, 31:2 (2021), 023132  crossref  isi
    2. V. Z. Grines, E. D. Kurenkov, “Diffeomorphisms of 2-manifolds with one-dimensional spaciously situated basic sets”, Izv. Math., 84:5 (2020), 862–909  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. Sergey P. Kuznetsov, Hyperbolic Chaos, 2012, 3  crossref
    4. E. V. Zhuzhoma, N. V. Isaenkova, “Classification of One-Dimensional Expanding Attractors”, Math. Notes, 86:3 (2009), 333–341  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. E. V. Zhuzhoma, V. S. Medvedev, “Global Dynamics of Morse–Smale Systems”, Proc. Steklov Inst. Math., 261 (2008), 112–135  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    6. D. V. Anosov, E. V. Zhuzhoma, “Nonlocal asymptotic behavior of curves and leaves of laminations on universal coverings”, Proc. Steklov Inst. Math., 249 (2005), 1–221  mathnet  mathscinet  zmath
    7. A. Yu. Zhirov, “Combinatorics of One-Dimensional Hyperbolic Attractors of Diffeomorphisms of Surfaces”, Proc. Steklov Inst. Math., 244 (2004), 132–200  mathnet  mathscinet  zmath
    8. E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Sb. Math., 193:6 (2002), 869–888  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. D. V. Anosov, E. V. Zhuzhoma, “Asymptotic Behavior of Covering Curves on the Universal Coverings of Surfaces”, Proc. Steklov Inst. Math., 238 (2002), 1–46  mathnet  mathscinet  zmath
    10. V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. Math., 66:2 (2002), 223–284  mathnet  crossref  crossref  mathscinet  zmath
    11. R. V. Plykin, “On the problem of topological classification of strange attractors of dynamical systems”, Russian Math. Surveys, 57:6 (2002), 1163–1205  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    12. A. Yu. Zhirov, “Examples of one-dimensional hyperbolic attractors on nonorientable surfaces”, Math. Notes, 65:3 (1999), 390–393  mathnet  crossref  crossref  mathscinet  zmath  isi
    13. A. Yu. Zhirov, “Solenoidal representations and the homology of hyperbolic attractors of diffeomorphisms of surfaces”, Sb. Math., 188:6 (1997), 799–821  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    14. V. Z. Grines, “On the topological classification of structurally stable diffeomorphisms of surfaces with one-dimensional attractors and repellers”, Sb. Math., 188:4 (1997), 537–569  mathnet  crossref  crossref  mathscinet  zmath  isi
    15. A. Yu. Zhirov, “On the minimum of the dilatation of pseudo-Anosov diffeomorphisms of a pretzel”, Russian Math. Surveys, 50:1 (1995), 223–224  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    16. A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces. Part 3. Classification algorithm”, Sb. Math., 186:2 (1995), 221–244  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:464
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    English version PDF:15
    References:57
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