Impulsive Hopfield-type neural network system with piecewise constant argument

Date

2010-08-01

Author

Akhmet, Marat
Yılmaz, Elanur

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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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Citation Formats

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.