Geodesic
Discrete dynamical systems with threshold functions of up to three variables
Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 1, pp. 17-34

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We propose a method for finding sources of discrete dynamical systems of the circulant type with a $q$-valued arbitrary function at the vertices. We find all the sources, all the fixed points and some cycles, as well as lengths of some maximal chains outside cycles for the systems with Boolean threshold functions of up to three variables at the vertices. Ill. 1, tab. 2, bibliogr. 15.
Keywords: discrete dynamical system, gene network, functional graph, threshold function
Mots-clés : circulant, source. 
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     author = {Ts. Ch.-D. Batueva},
     title = {Discrete dynamical systems with threshold functions of up to three variables},
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Ts. Ch.-D. Batueva. Discrete dynamical systems with threshold functions of up to three variables. Diskretnyj analiz i issledovanie operacij, Tome 23 (2016) no. 1, pp. 17-34. http://geodesic.mathdoc.fr/item/DA_2016_23_1_a1/