The numerical simulation of periodic solutions for a neural network

Kaining Wu; Chun Lu; Xiaohua Ding

doi:10.1016/j.camwa.2009.03.047

The numerical simulation of periodic solutions for a neural network

Kaining Wu
, Chun Lu
, Xiaohua Ding^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Qingdao University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, the existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and the Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

Original language	English
Pages (from-to)	2339-2346
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	58
Issue number	11-12
DOIs	https://doi.org/10.1016/j.camwa.2009.03.047
State	Published - Dec 2009
Externally published	Yes

Keywords

Coincidence degree
Global exponential stability
Lyapunov function
Neural networks
Periodic solution

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10.1016/j.camwa.2009.03.047

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@article{1e763270401d435fac82330f5fd24cc7,

title = "The numerical simulation of periodic solutions for a neural network",

abstract = "In this paper, the existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and the Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.",

keywords = "Coincidence degree, Global exponential stability, Lyapunov function, Neural networks, Periodic solution",

author = "Kaining Wu and Chun Lu and Xiaohua Ding",

year = "2009",

month = dec,

doi = "10.1016/j.camwa.2009.03.047",

language = "英语",

volume = "58",

pages = "2339--2346",

journal = "Computers and Mathematics with Applications",

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TY - JOUR

T1 - The numerical simulation of periodic solutions for a neural network

AU - Wu, Kaining

AU - Lu, Chun

AU - Ding, Xiaohua

PY - 2009/12

Y1 - 2009/12

N2 - In this paper, the existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and the Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

AB - In this paper, the existence and global exponential stability of periodic solutions for a class of numerical discretization neural networks are considered. Using coincidence degree theory and the Lyapunov method, sufficient conditions for the existence and global exponential stability of periodic solutions are obtained. A numerical simulation is given to illustrate the results.

KW - Coincidence degree

KW - Global exponential stability

KW - Lyapunov function

KW - Neural networks

KW - Periodic solution

UR - https://www.scopus.com/pages/publications/70350572279

U2 - 10.1016/j.camwa.2009.03.047

DO - 10.1016/j.camwa.2009.03.047

M3 - 文章

AN - SCOPUS:70350572279

SN - 0898-1221

VL - 58

SP - 2339

EP - 2346

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 11-12

ER -

The numerical simulation of periodic solutions for a neural network

Abstract

Keywords

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