Multiple Firing Patterns in Coupled Hindmarsh-Rose Neurons with a Nonsmooth Memristor. (9th November 2020)

• Record Type: Journal Article
• Authors: Shi, Xuerong; Wang, Zuolei
• Other Names: Wang Rubin Academic Editor.
• Is Part Of: Neural plasticity. Volume 2020(2020)
• Publication Date: 2020-11-09
• Subjects: Neuroplasticity -- Periodicals; 612.82
• DOI: 10.1155/2020/8826369
• Languages: English
• ISSNs: 2090-5904

Abstract

Abstract : 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.