Pinto, Manuel and Sepúlveda, Daniel and Torres, Ricardo: Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument. (2018)
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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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 34 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-28 |
| Uncontrolled Keywords: | Matematikai modell, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 24-28. ; Összefoglalás angol nyelven |
| Date Deposited: | 2018. Nov. 06. 13:45 |
| Last Modified: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55704 |
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