Bifurcation and control of a class of inertial neuron networks

被引：8

作者：

Zhao Hong-Yong ^{[1
]}

Chen Ling ^{[2
]}

Yu Xiao-Hong ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Sch Sci, Nanjing 210016, Peoples R China

[2] Coll Jingling Sci & Technol, Nanjing 211169, Peoples R China

来源：

ACTA PHYSICA SINICA | 2011年 / 60卷 / 07期

基金：

中国国家自然科学基金;

关键词：

inertial neural networks; stability; delayed feedback controller; Hopf bifurcation; HOPF-BIFURCATION; CHAOS; STABILITY; MODEL;

D O I：

10.7498/aps.60.070202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper deals with the stability and the bifurcation of a class of inertial neural networks. Based on sensitivity theory, we determine the suitable bifurcation parameter. Using Routh-Hurwitz criterion and bifurcation theory, we give some new criteria for stability, Hopf bifurcation and steady state bifurcation. Numerical simulations are given to validate the theoretical analysis showing that the delayed feedback controller can control the occurrence of bifurcation effectively and the amplitude of the bifurcated limit cycle as well.

引用

页数：8

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