场耦合忆阻神经网络的电活动

神经元之间除了突触耦合，还存在磁通耦合.因此在传统的神经元模型中引入磁通量，并研究场耦合下神经网络的放电活动具有实际意义.建立一个含场耦合的Hodgkin-Huxley忆阻神经网络，引入神经元节点之间的距离权重，用磁通量描述时变电磁场，采用磁控忆阻器实现膜电位和磁通量之间的耦合.探讨距离权重和系统大小对神经网络放电活动的影响.研究发现，随着权重增大，神经网络放电活动增强，且系统规模越大，诱导神经元兴奋性的权重阈值越大，系统大小不影响神经网络活性随距离权重变化的规律.在不同的权重值下，神经网络活性随系统大小变化的规律明显不同.研究表明，距离权重和系统大小对含场耦合的忆阻神经网络放电活动有重要影响，其中距离权重起主导作用.

Firing Activity of Memristive Neural Network Under Field Coupling

In reality, in addition to synapse coupling, magnetic flux coupling between neurons exists. Therefore, it is of practical significance to investigate the firing activity of neural network under field coupling. A Hodgkin-Huxley memristive neural model under field coupling is constructed, in which a distance-weighte between neurons is introduced. Then, effect of time-varying electromagnetic field is described with magnetic flux and a flux-controlled memristor is used to realize coupling between membrane potential and magnetic flux. The influence of distance-weighted and system size on the firing activity of memristive neural model under field coupling is studied. Experimental results show that with the increase of weight, the firing activity of neural network is enhanced. Besides, in order to induce neuronal excitability, threshold of weight increases as system becomes larger. Nevertheless, the evolution behavior of neural network activity with different weight is not affected by the system size. On the other hand, with different weight the evolution behavior of neural network activity of different systems is obviously different. These phenomena demonstrate that the weight and system size are important for the firing activity of memristive neural network under field coupling, and especially, the distance-weighte plays a leading role.