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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 372, Pages 172–186 (Mi znsl3569)  
This article is cited in 1 scientific paper (total in 1 paper)

General hyperbolicity conditions for set-valued mappings

S. Yu. Pilyugina, J. Riegerb

a Saint-Petersburg State University, Saint-Petersburg, Russia
b Universität Bielefeld, Bielefeld, Germany
Full-text PDF (219 kB) Citations (1)
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Abstract: We give a definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings in which images of points are convex polytopes. Bibl. – 13 titles.
Received: 29.01.2009
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 5, Pages 600–608
DOI: https://doi.org/10.1007/s10958-011-0375-x
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. Yu. Pilyugin, J. Rieger, “General hyperbolicity conditions for set-valued mappings”, Geometry and topology. Part 11, Zap. Nauchn. Sem. POMI, 372, POMI, St. Petersburg, 2009, 172–186; J. Math. Sci. (N. Y.), 175:5 (2011), 600–608
Citation in format AMSBIB
\Bibitem{PilRie09}
\by S.~Yu.~Pilyugin, J.~Rieger
\paper General hyperbolicity conditions for set-valued mappings
\inbook Geometry and topology. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 372
\pages 172--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3569}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 5
\pages 600--608
\crossref{https://doi.org/10.1007/s10958-011-0375-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958075714}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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