Global dynamics of periodic delayed neural networks models

被引：0

作者：

Zhou, J ^{[1
]}

Liu, ZR

Chen, GR

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

[2] Hebei Inst Technol, Dept Appl Math, Tianjin 300130, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

[4] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2005年 / 12卷 / 5-6期

关键词：

periodic delayed recurrent neural networks; dynamic attractor; periodic solutions; stability; topological degree theory; Lyapunov functional;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, without assuming the smoothness, rnonotonicity and boundedness of the activation functions, some new and simple sufficient conditions of the existence and global exponential stability of periodic attractors for a model of periodic delayed recurrent neural networks are obtained by utilizing topological degree theory and the Lyapunov functional methods, which are natural extension and generalization of the corresponding results existing in the literature.

引用

页码：689 / 699

页数：11

共 10 条

[1] Periodic oscillation and exponential stability of delayed CNNs [J].

Cao, JD .

PHYSICS LETTERS A, 2000, 270 (3-4) :157-163

[2] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

[3]

GAIN RE, 1977, COINCIDENCE DEGREE N

[4] Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons [J].

Gopalsamy, K ;

Sariyasa .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (03) :551-563

[5]

Hale, 1977, INTRO FUNCTIONAL DIF

[6] 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

[7] Global exponential stability and periodic solutions of recurrent neural networks with delays [J].

Huang, H ;

Cao, JD ;

Wang, J .

PHYSICS LETTERS A, 2002, 298 (5-6) :393-404

[8]

Mohamad S, 2000, DISCRET CONTIN DYN S, V6, P841

[9] Absolute periodicity and absolute stability of delayed neural networks [J].

Yi, Z ;

Heng, PA ;

Vadakkepat, P .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (02) :256-261

[10] Dynamics of periodic delayed neural networks [J].

Zhou, J ;

Liu, ZR ;

Chen, GR .

NEURAL NETWORKS, 2004, 17 (01) :87-101

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