布尔网络同步灵敏度与XOR循环网络收敛时间
Boolean networks synchronism sensitivity and XOR circulant networks convergence time
摘要:
本文介绍了关于布尔自动机网络中非单调相互作用的作用的理论研究的第一批结果。我们建议分析的贡献,非单调的多样性和复杂性的动力学行为,根据两个轴。第一个包括在支持的想法,非单调性有一个特殊的影响,这种网络的同步性的敏感性。它将我们带到第二个轴,展示了初步结果,并建立了对特定非单调布尔自动机网络(称为XOR循环网络)的动态行为的理解,特别是关于收敛时间的理解。
英文摘要:
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 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 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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