Attractors of dynamical systems associated with cycles | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2011. № 2(12).

We prove a theorem that describes attractors of dynamical systemsassociated 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 theinitial component is 0 and the final one is 1 they are replaced by 1 and 0 respectively andall digrams 10 are replaced simultaneously by 01.