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Sbornik: Mathematics, 1995, Volume 186, Issue 3, Pages 311–326
DOI: https://doi.org/10.1070/SM1995v186n03ABEH000018 (Mi sm18) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Chaotic and strange attractors of a two-dimensional map

V. N. Belykh
English version PDF (788 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM1995v186n03ABEH000018
Abstract: A family of continuous, invertible standard maps of the torus, cylinder and plane is considered in this paper. Sequences of bifurcations are studied which correspond to the transformation of an invariant curve to chaotic and strange attractors. The characteristic variations of complicated attractors are considered. Hyperbolicity conditions are obtained for the case of piecewise-smooth maps. The maps generating the Henon, Lozi, Belykh attractors belong to our class of standard maps.
Received: 31.08.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 3, Pages 3–18
Bibliographic databases:
UDC: 514
MSC: 58F12, 58F13, 58F14
Language: English
Original paper language: Russian
Citation: V. N. Belykh, “Chaotic and strange attractors of a two-dimensional map”, Mat. Sb., 186:3 (1995), 3–18; Sb. Math., 186:3 (1995), 311–326
Citation in format AMSBIB
\Bibitem{Bel95}
\by V.~N.~Belykh
\paper Chaotic and strange attractors of a~two-dimensional map
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 3
\pages 3--18
\mathnet{http://mi.mathnet.ru/sm18}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1331805}
\zmath{https://zbmath.org/?q=an:0851.58033}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 3
\pages 311--326
\crossref{https://doi.org/10.1070/SM1995v186n03ABEH000018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ92200001}
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  • https://doi.org/10.1070/SM1995v186n03ABEH000018
  • https://www.mathnet.ru/eng/sm/v186/i3/p3
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:1061
    Russian version PDF:797
    English version PDF:63
    References:90
    First page:1
     
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