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arXiv 1209.2599math-phmath.MPnlin.AOq-bio.NC
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大规模网络中的非均匀连接引起振荡

Heterogeneous connections induce oscillations in large scale networks

Geoffroy Hermann, Jonathan Touboul

摘要:

现实的大规模网络显示出连接性权重的异质分布,并且也可能随时间随机变化。我们发现,根据连接系数的异质性水平,不同的定性宏观和微观制度出现。我们的证据,特别是通用的过渡,从固定到完美的周期性锁相制度的无序参数增加,无论是在一个简单的模型处理分析和在一个生物相关的网络由可兴奋的细胞。

英文摘要:

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different qualitative macroscopic and microscopic regimes emerge. We evidence in particular generic transitions from stationary to perfectly periodic phase-locked regimes as the disorder parameter is increased, both in a simple model treated analytically and in a biologically relevant network made of excitable cells.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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