Volume 21, No 4, 2014, P. 80-88

UDC 519.174
A. M. Nazhmidenova and A. L. Perezhogin
A discrete dynamical system on a double circulant

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.

Nazhmidenova Azhar Maratovna ²
Perezhogin Alexey Lvovich ¹
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: pereal@math.nsc.ru