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Transition from Asynchronous to Oscillatory Dynamics in Balanced Spiking Networks with Instantaneous Synapses
Physical Review Letters ( IF 8.6 ) Pub Date : 2018-09-17 , DOI: 10.1103/physrevlett.121.128301
Matteo di Volo , Alessandro Torcini

We report a transition from asynchronous to oscillatory behavior in balanced inhibitory networks for class I and II neurons with instantaneous synapses. Collective oscillations emerge for sufficiently connected networks. Their origin is understood in terms of a recently developed mean-field model, whose stable solution is a focus. Microscopic irregular firings, due to balance, trigger sustained oscillations by exciting the relaxation dynamics towards the macroscopic focus. The same mechanism induces in balanced excitatory-inhibitory networks quasiperiodic collective oscillations.

中文翻译:

具有瞬时突触的平衡尖峰网络中从异步动力学到振动动力学的转变

我们报告了从瞬时行为的平衡抑制网络的平衡抑制网络中的异步行为到振荡行为的过渡。对于充分连接的网络,出现了集体振荡。可以通过最近开发的均值场模型来了解它们的起源,该模型的重点是稳定的解决方案。由于平衡,微观的不规则点火会通过向宏观焦点激发弛豫动力学来触发持续的振荡。相同的机制在平衡的兴奋性抑制网络中诱发拟周期性的集体振荡。
更新日期:2018-09-17
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