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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 131–154 (Mi znsl1242)  
This article is cited in 1 scientific paper (total in 1 paper)

Lyapunov functions in the estimation of dimensions of attractors of dynamical systems

G. A. Leonov

Saint-Petersburg State University
Full-text PDF (250 kB) Citations (1)
Abstract: We discuss the relation of the Lyapunov dimension to the topological, Hausdorff and fractal dimensions of attractors. For Henon and Lorentz systems we obtain formulas for the Lyapunov dimenison of attractors.
Received: 12.11.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 4, Pages 614–628
DOI: https://doi.org/10.1023/A:1021150327194
Bibliographic databases:
UDC: 531.36
Language: Russian
Citation: G. A. Leonov, “Lyapunov functions in the estimation of dimensions of attractors of dynamical systems”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 131–154; J. Math. Sci. (N. Y.), 113:4 (2003), 614–628
Citation in format AMSBIB
\Bibitem{Leo00}
\by G.~A.~Leonov
\paper Lyapunov functions in the estimation of dimensions of attractors of dynamical systems
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 131--154
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1242}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774651}
\zmath{https://zbmath.org/?q=an:1025.37014}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 4
\pages 614--628
\crossref{https://doi.org/10.1023/A:1021150327194}
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  • https://www.mathnet.ru/eng/znsl/v266/p131
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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