R. V. Plykin, “The existence of attracting (repelling) periodic points of Axiom A diffeomorphisms of the projective plane and of the Klein bottle”, Russian Math. Surveys, 32:3 (1977)

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Uspekhi Matematicheskikh Nauk, 1977, Volume 32, Issue 3(195), Page 179 (Mi rm3205)

This article is cited in 11 scientific papers (total in 12 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

The existence of attracting (repelling) periodic points of Axiom A diffeomorphisms of the projective plane and of the Klein bottle

R. V. Plykin

Full-text PDF (171 kB) Citations (12)

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Received: 28.10.1975

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: R. V. Plykin, “The existence of attracting (repelling) periodic points of Axiom A diffeomorphisms of the projective plane and of the Klein bottle”, Russian Math. Surveys, 32:3 (1977)

Citation in format AMSBIB

\Bibitem{Ply77}

\by R.~V.~Plykin

\paper The existence of attracting (repelling) periodic points of Axiom~A diffeomorphisms of the projective plane and of the Klein bottle

\jour Russian Math. Surveys

\yr 1977

\vol 32

\issue 3

\mathnet{http://mi.mathnet.ru/eng/rm3205}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=470992}

\zmath{https://zbmath.org/?q=an:0363.58010}

Linking options:

https://www.mathnet.ru/eng/rm3205

https://www.mathnet.ru/eng/rm/v32/i3/p179

This publication is cited in the following 12 articles:

D. V. Anosov, M. Ya. Antonovskii, V. M. Buchstaber, V. Z. Grines, A. Yu. Zhirov, E. V. Zhuzhoma, N. È. Klinshpont, A. A. Mal'tsev, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, L. P. Shil'nikov, “Romen Vasil'evich Plykin (obituary)”, Russian Math. Surveys, 66:3 (2011), 627–631
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
A. Yu. Zhirov, “Combinatorics of One-Dimensional Hyperbolic Attractors of Diffeomorphisms of Surfaces”, Proc. Steklov Inst. Math., 244 (2004), 132–200
V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. Math., 66:2 (2002), 223–284
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
E. V. Zhuzhoma, V. S. Medvedev, “On non-orientable two-dimensional basic sets on 3-manifolds”, Sb. Math., 193:6 (2002), 869–888
R. V. Plykin, “On the problem of topological classification of strange attractors of dynamical systems”, Russian Math. Surveys, 57:6 (2002), 1163–1205
A. Yu. Zhirov, “Solenoidal representations and the homology of hyperbolic attractors of diffeomorphisms of surfaces”, Sb. Math., 188:6 (1997), 799–821
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
S. Kh. Aranson, V. Z. Grines, “The topological classification of cascades on closed two-dimensional manifolds”, Russian Math. Surveys, 45:1 (1990), 1–35
V. Z. Grines, Kh. Kh. Kalai, “Diffeomorphisms of two-dimensional manifolds with spatially situated basic sets”, Russian Math. Surveys, 40:1 (1985), 221–222
R. V. Plykin, “On the geometry of hyperbolic attractors of smooth cascades”, Russian Math. Surveys, 39:6 (1984), 85–131

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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