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arXiv · 1104.4039

Synchronism vs Asynchronism in Boolean networks

Mathilde Noual
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Abstract

We show that synchronism can significantly impact on network behaviours, in particular by filtering unstable attractors induced by a constraint of asynchronism. We investigate and classify the different possible impacts that an addition of synchronism may have on the behaviour of a Boolean automata network. We show how these relate to some strong specific structural properties, thus supporting the idea that for most networks, synchronism only shortcuts asynchronous trajectories. We end with a discussion on the close relation that apparently exists between sensitivity to synchronism and non-monotony.

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Mathilde Noual. 2011-04-20. Synchronism vs Asynchronism in Boolean networks. https://arxiv.org/abs/1104.4039

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