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Updating method for the computation of orbits in parallel and sequential dynamical systems
Abstract:In this article, we provide a matrix method in order to compute orbits of parallel and sequential dynamical systems on Boolean functions. In this sense, we develop algorithms for systems defined over directed (and undirected) graphs when the evolution operator is a general minterm or maxterm and, likewise, when it is constituted by independent local Boolean functions, so providing a new tool for the study of orbits of these dynamical systems.
Keywords:discrete dynamical systems  parallel dynamical systems  sequential dynamical systems  computation of orbits  dependency graphs  Boolean functions
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