HOPF BIFURCATION OF THE FRACTIONAL-ORDER HINDMARSH-ROSE NEURON MODEL WITH TIME-DELAY

被引：6

作者：

Shi, Min ^{[1
]}

Yu, Yajuan ^{[2
]}

Xu, Qi ^{[3
]}

机构：

[1] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210023, Peoples R China

[2] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Peoples R China

[3] Southwest Jiaotong Univ, Sch Mech & Engn, Chengdu 610031, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 06期

关键词：

stability; Hopf bifurcation; Hindmarsh-Rose neuron model; fractional calculus; time-delay; SYNCHRONIZATION; NERVE;

D O I：

10.1216/rmj.2020.50.2213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hopf bifurcation problem of the fractional-order Hindmarsh-Rose neuron model with time-delay is investigated. The effects of time-delay to the bifurcation behavior of system is considered by linearizing the system at the equilibria method. With the bifurcation theory, the condition for the existence of Hopf bifurcation is obtained when considering time-delay tau as variable parameter. As illustrated by the numerical example, the proposed theoretical results work effectively and accurately.

引用

页码：2213 / 2222

页数：10

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