耦合范围对环型神经网络的影响  

Effect of Coupling Range on Ring Neural Networks

作　　者：李超越 谢浩浩 贺鑫 

机构地区：[1]长安大学理学院,陕西 西安

出　　处：《应用数学进展》2024年第4期1314-1326,共13页Advances in Applied Mathematics

摘　　要：分析了在环型网络中单向电耦合、单向化学耦合和两者共同耦合下神经系统的同步行为。通过数值仿真得到了该神经元模型的时间序列图、时空序列图和同步因子图等。发现当两个神经元单向电耦合时,随着耦合强度的增加,神经元同步性增强并最终完全同步。当神经网络单向化学耦合和单向电、化学耦合时,随着局部连接度的增加,神经系统可以达到同步状态。结果表明,耦合强度和局部连接度对神经网络的同步起着重要作用。The synchronization behavior of the neural system was analyzed under unidirectional electrical coupling, unidirectional chemical coupling, and their combination in a ring network. Through numerical simulations, time series plots, spatio-temporal sequence plots, and synchronization factor plots of this neural model were obtained. It was found that when two neurons were unidirectionally electrically coupled, as the coupling strength increased, neuronal synchrony increased and eventually achieved complete synchronization. When the neural network was unidirectionally chemically coupled or both unidirectionally electrically and chemically coupled, increasing the local connectivity led to the neural system reaching a synchronized state. The results indicate that coupling strength and local connectivity play important roles in the synchronization of neural networks.

关 键 词：Hindmarsh-Rose模型 电突触 化学突触 同步 放电模式 网络 

分 类 号：TP1[自动化与计算机技术—控制理论与控制工程]