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English version:
Journal of Applied and Industrial Mathematics, 2018, 12:4, 706–715

Volume 25, No 4, 2018, P. 81-96

UDC 519.174
A. S. Parfinenko and A. L. Perezhogin
The functional graph of a linear discrete dynamical system with two dominating vertices

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.

DOI: 10.17377/daio.2018.25.604

Anastasia S. Parfinenko 1
Aleksey L. Perezhogin 1,2
1. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
2. Sobolev Institute of Mathematics,
4 Koptyug Ave., 630090 Novosibirsk, Russia
e-mail: anastasia.s.parfinenko@gmail.com, pereal@math.nsc.ru

Received 19 December 2017
Revised 6 April 2018

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 © Sobolev Institute of Mathematics, 2015