Geodesic
Attractors of dynamical systems associated with cycles
Prikladnaâ diskretnaâ matematika, no. 2 (2011), pp. 90-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove a theorem that describes attractors of dynamical systems associated with cycles. 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.
Keywords: attractor, dynamical system, evolutional function. 
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     author = {A. V. Vlasova},
     title = {Attractors of dynamical systems associated with cycles},
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     url = {http://geodesic.mathdoc.fr/item/PDM_2011_2_a6/}
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A. V. Vlasova. Attractors of dynamical systems associated with cycles. Prikladnaâ diskretnaâ matematika, no. 2 (2011), pp. 90-95. http://geodesic.mathdoc.fr/item/PDM_2011_2_a6/

[1] Barbosa V. C., An atlas of edge-reversal dynamics, Chapman Hall/CRC, London, 2001, 372 pp. | MR | Zbl

[2] Salii V. N., “Ob odnom klasse konechnykh dinamicheskikh sistem”, Vestnik Tomskogo gosuniversiteta, 2005, no. 14, Prilozhenie, 23–26

[3] Colon-Reyes O., Laubenbacher R., Pareigis B., “Boolean monomial dynamical systems”, Ann. Combinat., 8 (2004), 425–439 | DOI | MR | Zbl

[4] Vlasova A. V., “Vetvleniya v konechnoi dinamicheskoi sisteme $(B^n,\theta)$”, Nauchnye issledovaniya studentov Saratovskogo gosudarstvennogo universiteta, materialy itog. stud. nauch. konf., Izd-vo Sarat. un-ta, Saratov, 2008, 57–58

[5] Vlasova A. V., Issledovanie evolyutsionnykh parametrov v dinamicheskikh sistemakh dvoichnykh vektorov, Svidetelstvo ROSPATENTa No 2009614409, zaregistrirovano 20 avgusta 2009