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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 305–319 (Mi tm469)  
This article is cited in 15 scientific papers (total in 15 papers)

$C^0$ Transversality and Shadowing Properties

S. Yu. Pilyugina, K. Sakaib

a St. Petersburg State University, Department of Mathematics and Mechanics
b Utsunomiya University
Full-text PDF (235 kB) Citations (15)
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Abstract: Let $f$ be an Axiom A diffeomorphism of a closed smooth two-dimensional manifold. It is shown that the following statements are equivalent: (a) $f$ satisfies the $C^0$ transversality condition, (b) $f$ has the shadowing property, and (c) $f$ has the inverse shadowing property with respect to a class of continuous methods.
Received in June 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2007, Volume 256, Pages 290–305
DOI: https://doi.org/10.1134/S0081543807010178
Bibliographic databases:
UDC: 517.9
Language: English
Citation: S. Yu. Pilyugin, K. Sakai, “$C^0$ Transversality and Shadowing Properties”, Dynamical systems and optimization, Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 256, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 305–319; Proc. Steklov Inst. Math., 256 (2007), 290–305
Citation in format AMSBIB
\Bibitem{PilSak07}
\by S.~Yu.~Pilyugin, K.~Sakai
\paper $C^0$ Transversality and Shadowing Properties
\inbook Dynamical systems and optimization
\bookinfo Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2007
\vol 256
\pages 305--319
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm469}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336907}
\zmath{https://zbmath.org/?q=an:1153.37343}
\elib{https://elibrary.ru/item.asp?id=9482622}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 256
\pages 290--305
\crossref{https://doi.org/10.1134/S0081543807010178}
\elib{https://elibrary.ru/item.asp?id=13543233}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248333471}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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