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Uspekhi Mat. Nauk, 1984, Volume 39, Issue 6(240), Pages 75–113 (Mi umn2504)  

This article is cited in 43 scientific papers (total in 45 papers)

On the geometry of hyperbolic attractors of smooth cascades

R. V. Plykin

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English version:
Russian Mathematical Surveys, 1984, 39:6, 85–131

Bibliographic databases:

UDC: 513.83+515.16
MSC: 37D40, 37C70, 37C55, 37C05, 53A07
Received: 25.03.1984

Citation: R. V. Plykin, “On the geometry of hyperbolic attractors of smooth cascades”, Uspekhi Mat. Nauk, 39:6(240) (1984), 75–113; Russian Math. Surveys, 39:6 (1984), 85–131

Citation in format AMSBIB
\by R.~V.~Plykin
\paper On~the~geometry of~hyperbolic attractors of~smooth cascades
\jour Uspekhi Mat. Nauk
\yr 1984
\vol 39
\issue 6(240)
\pages 75--113
\jour Russian Math. Surveys
\yr 1984
\vol 39
\issue 6
\pages 85--131

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    2. E. A. Sataev, “Invariant measures for hyperbolic maps with singularities”, Russian Math. Surveys, 47:1 (1992), 191–251  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. Hisao Kato, “Expansive homeomorphisms in continuum theory”, Topology and its Applications, 45:3 (1992), 223  crossref
    4. Hisao Kato, “Embeddability into the plane and movability on inverse limits of graphs whose shift maps are expansive”, Topology and its Applications, 43:2 (1992), 141  crossref
    5. Leonardo Mora, Marcelo Viana, “Abundance of strange attractors”, Acta Math, 171:1 (1993), 1  crossref  mathscinet  zmath  isi
    6. Hisao Kato, “Concerning continuum-wise fully expansive homeomorphisms of continua”, Topology and its Applications, 53:3 (1993), 239  crossref
    7. A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 135–174  mathnet  crossref  mathscinet  zmath  isi
    8. S. Kh. Aranson, E. V. Zhuzhoma, “On the structure of quasiminimal sets of foliations on surfaces”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 397–424  mathnet  crossref  mathscinet  zmath  isi
    9. A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces”, Russian Acad. Sci. Sb. Math., 83:1 (1995), 23–65  mathnet  crossref  mathscinet  zmath  isi
    10. A. Yu. Zhirov, R. V. Plykin, “On the relationship between one-dimensional hyperbolic attractors of surface diffeomorphisms and generalized pseudo-Anosov diffeomorphisms”, Math. Notes, 58:1 (1995), 779–781  mathnet  crossref  mathscinet  zmath  isi
    11. Vincent Naudot, “Strange attractor in the unfolding of an inclination-flip homoclinic orbit”, Ergod Th Dynam Sys, 16:5 (1996), 1071  crossref
    12. 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
    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, “A representation of one-dimensional attractors of $A$-diffeomorphisms by hyperbolic homeomorphisms”, Math. Notes, 62:1 (1997), 64–73  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    15. Hisao Kato, “Expansive homeomorphisms on surfaces with holes”, Topology and its Applications, 82:1-3 (1998), 267  crossref
    16. 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
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    28. 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
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    31. Plykin R.V., Klinshpont N.E., “Strange attractors. Topologic, geometric and algebraic aspects”, Regular & Chaotic Dynamics, 15:2–3 (2010), 335–347  crossref  isi  elib
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