作者
Argha Mondal, Sanjeev Kumar Sharma, Ranjit Kumar Upadhyay, Arnab Mondal
发表日期
2019/10/31
期刊
Scientific Reports
卷号
9
期号
1
页码范围
1-11
出版商
Nature Publishing Group
简介
Fractional-order dynamics of excitable systems can be physically described as a memory dependent phenomenon. It can produce diverse and fascinating oscillatory patterns for certain types of neuron models. To address these characteristics, we consider a nonlinear fast-slow FitzHugh-Rinzel (FH-R) model that exhibits elliptic bursting at a fixed set of parameters with a constant input current. The generalization of this classical order model provides a wide range of neuronal responses (regular spiking, fast-spiking, bursting, mixed-mode oscillations, etc.) in understanding the single neuron dynamics. So far, it is not completely understood to what extent the fractional-order dynamics may redesign the firing properties of excitable systems. We investigate how the classical order system changes its complex dynamics and how the bursting changes to different oscillations with stability and bifurcation analysis depending …
学术搜索中的文章
A Mondal, SK Sharma, RK Upadhyay, A Mondal - Scientific reports, 2019