Global stability analysis and existence of periodic solutions in an eight-neuron BAM neural network model with delays

被引：7

作者：

Javidmanesh, Elham ^{[1
]}

Dadi, Zohreh ^{[2
]}

Afsharnezhad, Zahra ^{[1
]}

Effati, Sohrab ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Appl Math, Mashhad, Iran

[2] Univ Bojnord, Dept Math, Bojnord, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2014年 / 27卷 / 01期

关键词：

Lyapunov function; stability; periodic solution; neural network; time delay; HOPF-BIFURCATION ANALYSIS; TIME DELAYS; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; NEURONS; MEMORY;

D O I：

10.3233/IFS-131007

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, an eight-neuron BAM neural network model with multiple delays is considered. We analyze the global existence of periodic solutions and conclude some of their properties such as being bounded. Furthermore, we construct an appropriate Lyapunov function which implies the global asymptotically stability. To illustrate our theoretical results, numerical simulations are presented.

引用

页码：391 / 406

页数：16

共 25 条

[1] Absolute exponential stability of recurrent neural networks with Lipschitz-continuous activation functions and time delays [J].

Cao, JD ;

Wang, J .

NEURAL NETWORKS, 2004, 17 (03) :379-390

[2] Stability and Hopf bifurcation in a simplified BAM neural network with two time delays [J].

Cao, Jinde ;

Xiao, Min .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02) :416-430

[3] Global existence of periodic solutions in a special neural network model with two delays [J].

Dong, Ying ;

Sun, Chengjun .

CHAOS SOLITONS & FRACTALS, 2009, 39 (05) :2249-2257

[4]

FIEDLER M, 1974, CZECH MATH J, V24, P392

[5] NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].

HOPFIELD, JJ .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092

[6] Stability and Hopf bifurcation analysis on a ring of four neurons with delays [J].

Hu, Haijun ;

Huang, Lihong .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (02) :587-599

[7] Hopf bifurcation analysis of two neurons with three delays [J].

Huang, Chuangxia ;

He, Yigang ;

Huang, Lihong ;

Yuan Zhaohui .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (03) :903-921

[8] Existence and stability analysis of bifurcating periodic solutions in a delayed five-neuron BAM neural network model [J].

Javidmanesh, Elham ;

Afsharnezhad, Zahra ;

Effati, Sohrab .

NONLINEAR DYNAMICS, 2013, 72 (1-2) :149-164

[9]

KASKA B, 1987, APPL OPTICS, V26, P4947

[10]

Li M.Y., 1994, J DIFFER EQUATIONS, V106, P27

← 1 2 3 →