Synchronism vs Asynchronism in Boolean networks

Computer Science – Discrete Mathematics

Scientific paper

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Scientific paper

This article shows how for most networks (more precisely, for all networks except some of the networks that satisfy severe necessary conditions), synchronous updates of the states of automata only add shortcuts in the asynchronous/sequential trajectories of the network. Further, as a consequence, the recurrent configurations of most networks remain recurrent when synchronism in the updates is added so that the asymptotic dynamics of the network does not change drastically with this addition of synchronism.

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