时滞对磁通耦合及化学耦合神经元分岔及同步的影响

以化学突触耦合神经元模型为基础，讨论了抑制性及兴奋性条件下达到同步的区别及同步的类型。并根据磁通耦合对神经元放电的影响，讨论了具有时滞、磁通耦合和化学耦合Morris-Lecar (ML)神经元模型的放电状态、分岔类型及其同步情况。发现具有磁通耦合和化学耦合ML神经元系统在不同参数下会产生丰富的逆倍周期分岔或加周期分岔行为。而时滞的引入，虽然可以增加系统的周期性，但同时也会破环系统同步。相反，适当的耦合强度能够增加同步。

Effects of Time Delay on Bifurcation and Synchronization of Flux-Coupled and Chemically Coupled Neurons

Based on the chemical synaptic coupled neuron model, the differences and types of synchronization under inhibitory and excitatory conditions were discussed. According to the effect of the magnetic flow coupling on neuron discharge, the discharge states, bifurcation types and synchronization of the Morris-Lecar (ML) neuron models with time delay, magnetic flux coupling and chemical coupling, were analyzed. The results show that, the ML neuronal systems with magnetic flow coupling and chemical coupling can produce rich inverse periodic bifurcation or incremental periodic bifurcation behaviors under different parameters. The introduction of time delay, although can increase the periodicity of the system, will also break the system synchronization. Conversely, an appropriate coupling strength can enhance synchronization.