Ullner Ekkehard, Politi Antonio, Torcini Alessandro
Institute for Complex Systems and Mathematical Biology and Department of Physics (SUPA), Old Aberdeen, Aberdeen AB24 3UE, United Kingdom.
Max Planck Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany.
Chaos. 2018 Aug;28(8):081106. doi: 10.1063/1.5049902.
We revisit the dynamics of a prototypical model of balanced activity in networks of spiking neurons. A detailed investigation of the thermodynamic limit for fixed density of connections (massive coupling) shows that, when inhibition prevails, the asymptotic regime is not asynchronous but rather characterized by a self-sustained irregular, macroscopic (collective) dynamics. So long as the connectivity is massive, this regime is found in many different setups: leaky as well as quadratic integrate-and-fire neurons; large and small coupling strength; and weak and strong external currents.
我们重新审视了脉冲神经元网络中平衡活动的典型模型的动力学。对固定连接密度（大量耦合）的热力学极限进行的详细研究表明，当抑制作用占主导时，渐近状态并非异步，而是以一种自持的不规则宏观（集体）动力学为特征。只要连接是大量的，这种状态在许多不同的设置中都能发现：漏电以及二次积分发放神经元；大小不同的耦合强度；以及强弱不同的外部电流。
