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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive
Diskretn. Anal. Issled. Oper., 2014 Volume 21, Issue 4, Pages 80–88 (Mi da787)
This article is cited in 3 papers

A discrete dynamical system on a double circulant

A. M. Nazhmidenovaa, A. L. Perezhoginb

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia

Abstract: A discrete dynamical system on a double circulant with additive and multiplicative functions at the vertices is studied. We describe all the cycles and fixed points of the functional graph of the system. Bibliogr. 9.

Keywords: discrete dynamical system, circulant, gene network, regulator circuit, functional graph.

UDC: 519.174

Received: 24.12.2013
Revised: 12.01.2014


 English version: Journal of Applied and Industrial Mathematics, 2014, 8:4, 568–573

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© Steklov Math. Inst. of RAS, 2024