Volume 21, No 4, 2014, P. 2532
UDC 519.174
Ts. Ch.D. Batueva
Discrete dynamical systems with threshold functions at the vertices
Abstract:
We propose an algorithm for finding all fixed points of a discrete dynamical system of the ñirculant 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.
Batueva Tsyndyma ChimitDorzhiyevna ^{1}
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
email: batueva@math.nsc.ru
