论文标题
以神经质量模型为例，与非线性延迟耦合的网络同步
Synchronization in Networks with Nonlinearly Delayed Couplings on Example of Neural Mass Model
论文作者
论文摘要
考虑到具有非线性延迟扩散耦合的线性系统的异质网络中的同步问题。该网络以新的坐标为平均场动力学和同步错误表示。因此，网络同步问题减少为同步 - 纠错系统稳定性的研究。时间延迟系统的圆周标准用于得出同步 - 纠错系统的稳定性条件。获得的结果应用于神经质量模型种群的网络，并建立了同步条件。提供仿真结果以说明获得的分析结果。
The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem of network synchronization is reduced to the studying of synchronization-error system stability. The circle criterion for time-delay systems is used to derive the stability conditions of synchronization-error system. Obtained results are applied to a network of neural mass model populations, and the synchronization conditions are established. Simulation results are provided to illustrate the obtained analytical results.
