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Existence and global exponential stability of periodic solution of two-neuron networks with time-varying delays

Authors :
Huang, Chuangxia
Huang, Lihong
Source :
Applied Mathematics Letters. Feb2006, Vol. 19 Issue 2, p126-134. 9p.
Publication Year :
2006

Abstract

Abstract: This paper is concerned with a delay differential system Such a differential system can be regarded as a model of a two-neuron artificial neural network with delayed feedback. Some interesting results are obtained for the existence and exponential stability of the periodic solution for the system. Our approach is based on the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
08939659
Volume :
19
Issue :
2
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
19059458
Full Text :
https://doi.org/10.1016/j.aml.2005.04.001