BOOLEAN NETWORKS SYNCHRONISM SENSITIVITY AND XOR CIRCULANT NETWORKS CONVERGENCE TIME

Boolean networks synchronism sensitivity and XOR circulant networks convergence time

Boolean networks synchronism sensitivity and XOR circulant networks convergence time

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In this paper are presented first results of a theoretical study on the role of non-monotone interactions in Boolean automata networks.We propose to analyse the contribution of non-monotony to the diversity dozy dinkum moppet and complexity in their dynamical behaviours according to two axes.The first one consists in supporting the idea that non-monotony has a peculiar influence on the sensitivity gladioli espresso to synchronism of such networks.It leads us to the second axis that presents preliminary results and builds an understanding of the dynamical behaviours, in particular concerning convergence times, of specific non-monotone Boolean automata networks called XOR circulant networks.

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