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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 2, Pages 233–253
DOI: https://doi.org/10.1070/SM1974v023n02ABEH001719 (Mi sm3680) 		 
This article is cited in 107 scientific papers (total in 110 papers)

Sources and sinks of $A$-diffeomorphisms of surfaces

R. V. Plykin
English version PDF (1381 kB) Citations (110)
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DOI: https://doi.org/10.1070/SM1974v023n02ABEH001719
Abstract: In the present paper the mechanism of the appearance of zero-dimensional sinks and sources in the presence of one-dimensional basic sets of diffeomorphisms of two-dimensional surfaces, satisfying Axiom A, is studied. New examples are constructed of one-dimensional basic sets of structurally stable diffeomorphisms of the two-dimensional sphere. The existence is proved of zero-dimensional sinks and sources of diffeomorphisms of orientable surfaces of genus less than two, which are not $Y$-diffeomorphisms. An estimate is given of the number of amply situated basic sets of $A$-diffeomorphisms of orientable surfaces by means of topological invariants of the surfaces.
Figures: 2.
Bibliography: 17 titles.
Received: 03.09.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 94(136), Number 2(6), Pages 243–264
Bibliographic databases:
UDC: 513.83
MSC: Primary 58F15, 15F20; Secondary 54H20, 34C35, 28A65
Language: English
Original paper language: Russian
Citation: R. V. Plykin, “Sources and sinks of $A$-diffeomorphisms of surfaces”, Mat. Sb. (N.S.), 94(136):2(6) (1974), 243–264; Math. USSR-Sb., 23:2 (1974), 233–253
Citation in format AMSBIB
\Bibitem{Ply74}
\by R.~V.~Plykin
\paper Sources and sinks of $A$-diffeomorphisms of surfaces
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 94(136)
\issue 2(6)
\pages 243--264
\mathnet{http://mi.mathnet.ru/sm3680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=356137}
\zmath{https://zbmath.org/?q=an:0324.58013}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 2
\pages 233--253
\crossref{https://doi.org/10.1070/SM1974v023n02ABEH001719}
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    • This publication is cited in the following 110 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:864
    Russian version PDF:250
    English version PDF:65
    References:84
     
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