A. S. Parfinenko, A. L. Perezhogin, “The functional graph of a linear discrete dynamical system with two dominating vertices”, Diskretn. Anal. Issled. Oper., 2018, Volume 25, Issue 4,Pages <nobr>81

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The functional graph of a linear discrete dynamical system with two dominating vertices

A. S. Parfinenko^a, A. L. Perezhogin^ab

^a Novosibirsk State University, 1 Pirogov St., 630090 Novosibirsk, Russia
^b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia

Abstract: The change of the functional graph of a linear discrete dynamical system is described under transformation of the support graph of the system. Namely, the support graph is transformed by adding two dominating vertices. Bibliogr. 12.

Keywords: discrete dynamical system, linear discrete dynamical systems, functional graph, state diagram, support graph, linear sequential network.

UDC: 519.174

Received: 19.12.2017
Revised: 06.04.2018

DOI: 10.17377/daio.2018.25.604