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Impulsive Hopfield-type neural network system with piecewise constant argument
Date
2010-08-01
Author
Akhmet, Marat
Yılmaz, Elanur
Metadata
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In this paper we introduce an impulsive Hopfield-type neural network system with piecewise constant argument of generalized type. Sufficient conditions for the existence of the unique equilibrium are obtained. Existence and uniqueness of solutions of such systems are established. Stability criterion based on linear approximation is proposed. Some sufficient conditions for the existence and stability of periodic solutions are derived. An example with numerical simulations is given to illustrate our results.
Subject Keywords
Periodic solutions
,
Asymptotic stability
,
Equilibrium
,
Piecewise constant argument
,
Hopfield neural networks
,
Impulsive differential equations
URI
https://hdl.handle.net/11511/31166
Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
DOI
https://doi.org/10.1016/j.nonrwa.2009.09.003
Collections
Graduate School of Social Sciences, Article
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M. Akhmet and E. Yılmaz, “Impulsive Hopfield-type neural network system with piecewise constant argument,”
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
, pp. 2584–2593, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31166.