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Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument.

Authors :
Pinto, Manuel
SepĂșlveda, Daniel
Torres, Ricardo
Source :
Electronic Journal of Qualitative Theory of Differential Equations. 2018, p1-28. 28p.
Publication Year :
2018

Abstract

In this paper we study a periodic impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Under general conditions, existence and uniqueness of solutions of such systems are established using ergodicity, Green functions and Gronwall integral inequality. Some sufficient conditions for the existence and stability of periodic solutions are shown and a new stability criterion based on linear approximation is proposed. Examples with constant and nonconstant coefficients are simulated, illustrating the effectiveness of the results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14173875
Database :
Academic Search Index
Journal :
Electronic Journal of Qualitative Theory of Differential Equations
Publication Type :
Academic Journal
Accession number :
133435220
Full Text :
https://doi.org/10.14232/ejqtde.2018.1.34