Cycles, double-cycles d’interactions et modes de mise à jour

Abstract : Our daily life more and more influenced by social networks, ourselves widely depending on biological regulation networks, and the physical world together with the particle systems that compose it highlight that we are all closely concerned with interaction networks. However, our knowledge of them is far from complete and it seems necessary, or at the very least useful, to better apprehend and comprehend their intrinsic properties, like the relations between their architecture and their dynamics notably and their link with respect to “time”. Considering Boolean automata networks as a model of interaction networks, we present in this article a synthesis of recent results about the role of retroaction cycles and their intersections on their asymptotic dynamical behaviour, by emphasising the impact of the automata updating modes.
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Tarek Melliti, Mathilde Noual, Damien Regnault, Sylvain Sené. Cycles, double-cycles d’interactions et modes de mise à jour. Technique et Science Informatiques, Hermès-Lavoisier, 2015, 34 (4), pp.401--430. ⟨10.3166/tsi.34.401-430⟩. ⟨hal-01277637⟩

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