Stability switches in a Cohen-Grossberg neural network with multi-delays

被引：4

作者：

Duan, Wenying ^{[1
]}

机构：

[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2017年 / 10卷 / 05期

关键词：

Cohen-Grossberg neural networks; delays; stability switches; GLOBAL ASYMPTOTIC STABILITY; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; ACTIVATION FUNCTIONS; DISTRIBUTED DELAYS; HOPF-BIFURCATION; GENERAL-CLASS; MULTISTABILITY; DISCRETE; OSCILLATORS;

D O I：

10.1142/S1793524517500759

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider a Cohen-Grossberg neural network with three delays. Regarding time delays as a parameter, we investigate the effect of time delays on its dynamics. We show that there exist stability switches for time delays under certain conditions and the conditions for the existence of periodic oscillations are given by discussing the associated characteristic equation. Numerical simulations are given to illustrate the obtained results and interesting network behaviors are observed, such as multiple stability switches of the network equilibrium and synchronous (asynchronous) oscillations.

引用

页数：15

共 50 条

[31] New stability criteria for Cohen-Grossberg neural networks with time delays [J].

Hu, L. ;

Gao, H. ;

Shi, P. .

IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (09) :1275-1282

[32] Robust stability in Cohen-Grossberg neural network with both time-varying and distributed delays [J].

Song, Qian-Kun ;

Cao, Jin-De .

NEURAL PROCESSING LETTERS, 2008, 27 (02) :179-196

[33] Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion [J].

Tian, Xiaohong ;

Xu, Rui .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) :293-305

[34] Exponential stability analysis for delayed stochastic Cohen-Grossberg neural network [J].

Wang, Guanjun ;

Liang, Jinling .

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2010, 3 (01) :96-102

[35] Asymptotic Stability and Polynomial Stability of Impulsive Cohen-Grossberg Neural Networks with Multi-proportional Delays [J].

Zhou, Liqun ;

Zhao, Zhixue .

NEURAL PROCESSING LETTERS, 2020, 51 (03) :2607-2627

[36] Exponential stability of Cohen-Grossberg neural networks with delays and impulses [J].

Tang, Qing ;

Liu, Anping ;

Li, Huijuan ;

Liu, Ting .

ICCSSE 2009: PROCEEDINGS OF 2009 4TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION, 2009, :144-147

[37] Dynamics of Cohen-Grossberg neural networks with variable and distributed delays [J].

Mao, Zisen ;

Zhao, Hongyong ;

Wang, Xiaofeng .

PHYSICA D-NONLINEAR PHENOMENA, 2007, 234 (01) :11-22

[38] LMI conditions for stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays [J].

Fu, Xilin ;

Li, Xiaodi .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) :435-454

[39] Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays [J].

Song, Qiankun ;

Wang, Zidong .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (13) :3314-3326

[40] Exponential stability of periodic solutions for Cohen-Grossberg neural networks with continuously distributed delays [J].

Kao, Yonggui ;

Ming, Qinghe ;

Gao, Cunchen .

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS AND KNOWLEDGE ENGINEERING (ISKE 2007), 2007,

← 1 2 3 4 5 →