标题： 脉动相位的时延多普勒同步 显示英文标题

标题： Doppler synchronization of pulsating phases by time delay

摘要： 通过脉冲交换实现的同步是一种普遍现象，出现在发光萤火虫、鼓掌的观众以及大脑的神经网络中。 迄今为止，研究重点是积分-放电振子。 在这里，我们考虑完全解析的时间演化。 振子交换窄但有限的脉冲。 对于振子之间任何非零的时间延迟，在满足某些简单条件的邻接矩阵所描述的相互作用网络中，无论振子数量多少，都会发生完全同步。 同步所需的时间随时间延迟的增加而减少。 显示英文摘要

摘要： Synchronization by exchange of pulses is a widespread phenomenon, observed in flashing fireflies, applauding audiences and the neuronal network of the brain. Hitherto the focus has been on integrate-and-fire oscillators. Here we consider entirely analytic time evolution. Oscillators exchange narrow but finite pulses. For any non-zero time lag between the oscillators complete synchronization occurs for any number of oscillators arranged in interaction networks whose adjacency matrix fulfils some simple conditions. The time to synchronization decreases with increasing time lag.