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Algebra i Analiz, 2010, Volume 22, Issue 2, Pages 127–163 (Mi aa1179)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Nondensity of the orbital shadowing property in $C^1$-topology

A. V. Osipov

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (758 kB) Citations (6)
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Abstract: The orbital shadowing property (OSP) of discrete dynamical systems on smooth closed manifolds is considered. The nondensity of OSP with respect to the $C^1$-topology is proved. The proof uses the method of skew products developed by Ilyashenko and Gorodetskiĭ.
Keywords: shadowing, generic property, skew product, $C^1$-topology.
Received: 28.02.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 2, Pages 267–292
DOI: https://doi.org/10.1090/S1061-0022-2011-01140-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Osipov, “Nondensity of the orbital shadowing property in $C^1$-topology”, Algebra i Analiz, 22:2 (2010), 127–163; St. Petersburg Math. J., 22:2 (2011), 267–292
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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