Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 88-89
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A. V. Vlasova. On attractors of dynamical systems associated with cycles. Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 88-89. http://geodesic.mathdoc.fr/item/PDM_2011_13_a44/
@article{PDM_2011_13_a44,
author = {A. V. Vlasova},
title = {On attractors of dynamical systems associated with cycles},
journal = {Prikladna\^a diskretna\^a matematika},
pages = {88--89},
year = {2011},
number = {13},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PDM_2011_13_a44/}
}
TY - JOUR
AU - A. V. Vlasova
TI - On attractors of dynamical systems associated with cycles
JO - Prikladnaâ diskretnaâ matematika
PY - 2011
SP - 88
EP - 89
IS - 13
UR - http://geodesic.mathdoc.fr/item/PDM_2011_13_a44/
LA - ru
ID - PDM_2011_13_a44
ER -
%0 Journal Article
%A A. V. Vlasova
%T On attractors of dynamical systems associated with cycles
%J Prikladnaâ diskretnaâ matematika
%D 2011
%P 88-89
%N 13
%U http://geodesic.mathdoc.fr/item/PDM_2011_13_a44/
%G ru
%F PDM_2011_13_a44
A theorem that describes attractors of dynamical systems associated with cycles is proved. States of such a system are binary vectors of a given dimension and evolutional function transforms vectors according to the following rules: if both the initial component is 0 and the final one is 1 they are replaced by 1 and 0 respectively and all digrams 10 are replaced simultaneously by 01.
[2] Vlasova A. V., Issledovanie evolyutsionnykh parametrov v dinamicheskikh sistemakh dvoichnykh vektorov, Svidetelstvo ROSPATENTa No 2009614409, zaregistrirovano 20 avgusta 2009
[3] Barbosa V. C., An atlas of edge-reversal dynamics, Chapman Hall/CRC, London, 2001, 372 pp. | Zbl
[4] Colon-Reyes O., Laubenbacher R., Pareigis B., “Boolean monomial dynamical systems”, Ann. Combinat., 8 (2004), 425–439 | DOI | MR | Zbl
[5] Vlasova A. V., “Attraktory dinamicheskikh sistem, assotsiirovannykh s tsiklami”, Prikladnaya diskretnaya matematika, 2011, no. 2, 90–95