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Multiple Firing Patterns in Coupled Hindmarsh-Rose Neurons with a Nonsmooth Memristor
Neural Plasticity ( IF 3.0 ) Pub Date : 2020-11-09 , DOI: 10.1155/2020/8826369
Xuerong Shi 1 , Zuolei Wang 1
Affiliation  

A model is introduced by coupling two three-dimensional Hindmarsh-Rose models with the help of a nonsmooth memristor. The firing patterns dependent on the external forcing current are explored, which undergo a process from adding-period to chaos. The stability of equilibrium points of the considered model is investigated via qualitative analysis, from which it can be gained that the model has diversity in the number and stability of equilibrium points for different coupling coefficients. The coexistence of multiple firing patterns relative to initial values is revealed, which means that the referred model can appear various firing patterns with the change of the initial value. Multiple firing patterns of the addressed neuron model induced by different scales are uncovered, which suggests that the discussed model has a multiscale effect for the nonzero initial value.

中文翻译:

带有非光滑忆阻器的耦合后沼泽-玫瑰神经元的多重放电模式

通过在非光滑忆阻器的帮助下耦合两个三维 Hindmarsh-Rose 模型,引入了一个模型。探索了依赖于外力电流的点火模式,其经历了从加周期到混沌的过程。通过定性分析研究了所考虑模型平衡点的稳定性,从中可以得出该模型在不同耦合系数下平衡点的数量和稳定性具有多样性。揭示了相对于初始值的多种点火模式的共存,这意味着所引用的模型可以随着初始值的变化而出现多种点火模式。揭示了由不同尺度引起的所寻址神经元模型的多个放电模式,
更新日期:2020-11-12
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