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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 4, Pages 25–32 (Mi da782)  

This article is cited in 3 scientific papers (total in 3 papers)

Discrete dynamical systems with threshold functions at the vertices

Ts. Ch.-D. Batueva

S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (243 kB) Citations (3)
References:
Abstract: We propose an algorithm for finding all fixed points of a discrete dynamical system of the сirculant type with an arbitrary Boolean function at the vertices. We obtain the description of the origins and fixed points for the system with a Boolean function $f$ of $k$ variables with a single set $\widetilde v$, such that $f(\widetilde v)=1$, at the vertices. Ill. 1, tab. 2, bibliogr. 8.
Keywords: discrete dynamical system, circulant, gene network, functional graph.
Received: 21.10.2013
Revised: 20.03.2014
Bibliographic databases:
Document Type: Article
UDC: 519.174
Language: Russian
Citation: Ts. Ch.-D. Batueva, “Discrete dynamical systems with threshold functions at the vertices”, Diskretn. Anal. Issled. Oper., 21:4 (2014), 25–32
Citation in format AMSBIB
\Bibitem{Bat14}
\by Ts.~Ch.-D.~Batueva
\paper Discrete dynamical systems with threshold functions at the vertices
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 4
\pages 25--32
\mathnet{http://mi.mathnet.ru/da782}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3289218}
Linking options:
  • https://www.mathnet.ru/eng/da782
  • https://www.mathnet.ru/eng/da/v21/i4/p25
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретный анализ и исследование операций
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    Abstract page:322
    Full-text PDF :95
    References:61
    First page:6
     
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