Open Access
august 2011 Periodic Solutions and Global Attraction for N-Dimension Discrete-Time Neural Networks with Time-Varying Delays
Liang Zhang, Yong Wang, Hong-Xu Li, Liehui Zhang
Bull. Belg. Math. Soc. Simon Stevin 18(3): 483-491 (august 2011). DOI: 10.36045/bbms/1313604452

Abstract

In this paper, easily verifiable conditions for the existence and global attraction of periodic solutions of n-dimension nonautonomous discrete-time neural networks with time-varying delays are established by using the well--known Gaines--Mawhin theorem and some analysis techniques. These results obtained are more generalizable than the previously known results. Moreover, an example is provided to illustrate the validity of our results.

Citation

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Liang Zhang. Yong Wang. Hong-Xu Li. Liehui Zhang. "Periodic Solutions and Global Attraction for N-Dimension Discrete-Time Neural Networks with Time-Varying Delays." Bull. Belg. Math. Soc. Simon Stevin 18 (3) 483 - 491, august 2011. https://doi.org/10.36045/bbms/1313604452

Information

Published: august 2011
First available in Project Euclid: 17 August 2011

zbMATH: 1232.39011
MathSciNet: MR2883142
Digital Object Identifier: 10.36045/bbms/1313604452

Subjects:
Primary: 39A10 , 92B20

Keywords: Gaines--Mawhin theorem , Global attraction , neural networks , periodic solutions

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 3 • august 2011
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