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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2016, Volume 18, Number 4, Pages 34–40 (Mi svmo623)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Application of kneading series to semiconjugacy of Lorenz maps of zero entropy

M. I. Malkin, K. A. Saphonov

Lobachevski State University of Nizhni Novgorod
Full-text PDF (398 kB) Citations (1)
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Abstract: For one-dimensional discontinuous maps of Lorenz type with zero topological entropy, we apply the technique of kneading invariants and kneading series. The kneading technique was introduced first by J. Milnor and W. Thurston for continuous piecewise-monotone one-dimensional maps and was applied to maps with positive topological entropy. In present paper we show that by approaching the zero entropy one may (using kneading series) define invariant measure for Lorenz maps under consideration. Thus one may construct semiconjugacy (being actually a conjugacy in the transitive case) with a model map of unit slope.
Keywords: topological entropy, Lorenz type maps, kneading invariants.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03687-а
14-01-00344
Russian Science Foundation 14-41-00044
Bibliographic databases:
Document Type: Article
UDC: 512.917+513.9
Language: Russian
Citation: M. I. Malkin, K. A. Saphonov, “Application of kneading series to semiconjugacy of Lorenz maps of zero entropy”, Zhurnal SVMO, 18:4 (2016), 34–40
Citation in format AMSBIB
\Bibitem{MalSap16}
\by M.~I.~Malkin, K.~A.~Saphonov
\paper Application of kneading series to semiconjugacy of Lorenz maps of zero entropy
\jour Zhurnal SVMO
\yr 2016
\vol 18
\issue 4
\pages 34--40
\mathnet{http://mi.mathnet.ru/svmo623}
\elib{https://elibrary.ru/item.asp?id=27398057}
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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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    Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva
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