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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 231, Pages 62–75 (Mi znsl3741)  
This article is cited in 24 scientific papers (total in 24 papers)

General topology

Lyapunov's direct method in estimates of topological entropy

V. A. Boichenko, G. A. Leonov

Saint-Petersburg State University
Full-text PDF (577 kB) Citations (24)
Abstract: An upper estimate for the topological entropy of a dynamical system defined by a system of ODE is obtained. The estimate involves the Lyapunov functions and Losinskii's logarithmic norm. The proof uses the known fact that the topological entropy of a mapping acting in a compact space $K$ can be estimated via the fractal dimension of $K$. Bibl. 28 titles.
Received: 20.07.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 6, Pages 3370–3379
DOI: https://doi.org/10.1007/BF02434914
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
Language: Russian
Citation: V. A. Boichenko, G. A. Leonov, “Lyapunov's direct method in estimates of topological entropy”, Investigations in topology. Part 8, Zap. Nauchn. Sem. POMI, 231, POMI, St. Petersburg, 1995, 62–75; J. Math. Sci. (New York), 91:6 (1998), 3370–3379
Citation in format AMSBIB
\Bibitem{BoiLeo95}
\by V.~A.~Boichenko, G.~A.~Leonov
\paper Lyapunov's direct method in estimates of topological entropy
\inbook Investigations in topology. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 231
\pages 62--75
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434284}
\zmath{https://zbmath.org/?q=an:0906.54017}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 6
\pages 3370--3379
\crossref{https://doi.org/10.1007/BF02434914}
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  • https://www.mathnet.ru/eng/znsl/v231/p62
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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