N个耦合神经元的同步时间

The Synchronization Time in Coupled N Neurons

主要讨论了神经元的同步时间问题.首先得到了N维线性随机动力系统的同步时间由其相互作用矩阵的第二大特征值决定.其次把定理应用于三种不同类型的相互作用矩阵-全程相互作用,最近邻相互作用和随机相互作用,并且得到了它们的同步时间.最后用一类具有特定耦合机制的随机系统作为例子来说明非线性随机动力系统的同步时间问题.

The synchronization time of neuronal mechanics is explored. It is found that the synchronization time of N linear SDE is determined by the second maximum eigenvalue of interaction matrix. Applying theory to three different rpes of interaction matrix-whole range, nearest neighbor and stochastic interaction, their synchronization time are gotten. ystem with specific coupling schemes is discussed as an example to illustrate the synchronization time of non-linear stochastic dynamical systems.