论文标题
旋转器高度稀释网络中的集体兴奋性
Collective excitability in highly diluted networks of rotators
论文作者
论文摘要
我们在高度稀释的不可启用节点的随机网络中报告集体兴奋的事件。由于自我维持的局部适应机制，引起了兴奋性，该机制在涉及具有不同同步程度的状态的滞后相变的缓慢时间尺度上驱动系统。这些现象已针对具有固有频率的双峰分布以及具有惯性和单峰频率分布的库拉莫托模型的库拉莫托模型进行了研究。我们考虑全局和局部刺激方案，并表征不同稀释水平的系统响应。我们将结果与在完全耦合的情况下获得的结果进行了比较，表明这种集体现象对网络稀释性非常强大。
We report on collective excitable events in a highly-diluted random network of non-excitable nodes. Excitability arises thanks to a self-sustained local adaptation mechanism that drives the system on a slow time-scale across a hysteretic phase transition involving states with different degrees of synchronization. These phenomena have been investigated for the Kuramoto model with bimodal distribution of the natural frequencies and for the Kuramoto model with inertia and an unimodal frequency distribution. We consider global and local stimulation protocols and characterize the system response for different level of dilution. We compare the results with those obtained in the fully-coupled case showing that such collective phenomena are remarkably robust against network diluteness.
