论文标题
神经元模型中同步开始时的临界行为
Critical behaviour at the onset of synchronization in a neuronal model
论文作者
论文摘要
大脑动力学中关键行为和振荡模式的存在是一个非常有趣的问题。在本文中，我们考虑了一个神经元种群的模型，在该模型中，每个神经元都是由过度阻尼旋转器建模的。我们发现，在外部参数的空间中，存在一些系统显示同步的区域。有趣的是，就在过渡点，雪崩统计数据显示了幂律行为。同样，在小型系统的情况下，（部分）同步和幂律行为可以同时发生。
The presence of both critical behavior and oscillating patterns in brain dynamics is a very interesting issue. In this paper, we consider a model for a neuron population, where each neuron is modeled by an over-damped rotator. We find that in the space of external parameters, there exist some regions that system shows synchronization. Interestingly, just at the transition point, the avalanche statistics show a power-law behavior. Also, in the case of small systems, the (partially) synchronization and power-law behavior can happen at the same time.
