磁通e-HR神经元模型的分岔模式与同步

Bifurcation mode and synchronization of flux e-HR neuron model

基于外界电磁场建立了磁通e-HR神经元模型,通过数值仿真研究了在不同参数组合的情况下磁通e-HR神经元模型的分岔模式,发现磁通e-HR神经元模型存在倍周期、逆倍周期、无混沌的加周期等分岔模式.此外,基于理论分析,通过运用非线性自适应控制方法,研究了电突触耦合的磁通e-HR神经元模型的同步行为,实现了由混沌状态到簇放电状态的同步控制,从而为深入了解磁通神经元模型的分岔模式提供了有益的探讨.

In this paper,the magnetic flux e-HR neuron model is established based on the external electromagnetic field.The bifurcation mode of the magnetic flux e-HR neuron model under different parameters combination is studied by numerical simulation.It is found that the flux e-HR neuron model has bifurcation patterns such as period doubling,inverse period-doubling and period adding without chaos.In addition,based on the theoretical analysis,the synchronization behavior of the synapse-coupled flux e-HR neuron model is studied by using the nonlinear adaptive control method,and the synchronization control from chaotic state to burst state is realized.Therefore,it is helpful to understand the bifurcation model of the magnetic flux neuron model.