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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 4, Pages 25–32
(Mi da782)
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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
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
Citation:
Ts. Ch.-D. Batueva, “Discrete dynamical systems with threshold functions at the vertices”, Diskretn. Anal. Issled. Oper., 21:4 (2014), 25–32
Linking options:
https://www.mathnet.ru/eng/da782 https://www.mathnet.ru/eng/da/v21/i4/p25
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Abstract page: | 312 | Full-text PDF : | 89 | References: | 53 | First page: | 6 |
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