Analysis of Two- and Three-Dimensional Fractional-Order Hindmarsh-Rose Type Neuronal Models

被引：0
作者：
Eva Kaslik
机构：
[1] Institute e-Austria Timisoara,Dept. of Mathematics and Computer Science
[2] West University of Timisoara,undefined
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 26A33; Secondary 33E12; 34A08; 34K37; 35R11; 60G22; fractional-order; Hindmarsh-Rose model; Hodgkin-Huxley equations; neuron; neuronal activity; stability; Hopf bifurcation; bursting; slow-fast system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A theoretical analysis of two- and three-dimensional fractional-order Hindmarsh-Rose neuronal models is presented, focusing on stability properties and occurrence of Hopf bifurcations, with respect to the fractional order of the system chosen as bifurcation parameter. With the aim of exemplifying and validating the theoretical results, numerical simulations are also undertaken, which reveal rich bursting behavior in the three-dimensional fractional-order slow-fast system.
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页码：623 / 645
页数：22
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