Stationary oscillation for high-order Hopfield neural networks with time delays and impulses

We investigate stationary oscillation for high-order Hopfield neural networks with time delays and impulses. In a recent paper [J. Zhang, Z. J. Gui, Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays, Journal of Computational and Applied Mat...

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 231; no. 1; pp. 473 - 477
Main Authors: Zhang, Yinping, Wang, Qing-Guo
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.09.2009
Elsevier
Subjects:
Delay
Exact sciences and technology
Global stability
High-order Hopfield neural networks
Impulse
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Periodic solution
Sciences and techniques of general use
High-order Hopfield neural networks
Periodic solution
Global stability
Impulse
Delay
Existence of solution
Neural network
Global solution
Numerical analysis
Sufficient condition
Applied mathematics
Oscillation
Numerical stability
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Summary:We investigate stationary oscillation for high-order Hopfield neural networks with time delays and impulses. In a recent paper [J. Zhang, Z. J. Gui, Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays, Journal of Computational and Applied Mathematics 224 (2008) 602–613], the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for high-order Hopfield neural networks with time delays and impulses. In this paper, we point out that the main result of the recent paper is unture, and present a new sufficient condition of stationary oscillation for the neural networks. A numerical example is given to illustrate the effectiveness of the obtained result.
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ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2009.02.079