Geodesic
Attractors of dynamical systems associated with cycles
Prikladnaâ diskretnaâ matematika, no. 2 (2011), pp. 90-95

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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. 
@article{PDM_2011_2_a6,
     author = {A. V. Vlasova},
     title = {Attractors of dynamical systems associated with cycles},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {90--95},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     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/