具有强非均匀相位反应的兴奋性神经元的同步化
Synchronization of Excitatory Neurons with Strongly Heterogeneous Phase Responses
摘要：
在许多实际振荡器系统中，相位响应曲线是高度不均匀的。然而，异构振荡器网络的动力学还没有得到认真解决。我们提出了一个理论框架来分析这样一个系统，明确处理的非均匀相位响应曲线。我们发展了一种新的方法来解决自洽方程的序参量通过使用正式的复值相变量，并将我们的理论应用于体外皮层神经元网络。我们发现了一个新的状态转换，没有观察到在以前的振荡器网络模型。
英文摘要：
In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system by dealing explicitly with the heterogeneous phase response curves. We develop a novel method to solve the self-consistent equations for order parameters by using formal complex-valued phase variables, and apply our theory to networks of in vitro cortical neurons. We find a novel state transition that is not observed in previous oscillator network models.
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