Oscillation and stability of multidirectional associative memory neural network with mixed delays

This paper deals with a generalized multidirectional associative memory neural network with time-varying coefficients and mixed delays. Some criteria are established for the existence and the global exponential stability of weighted pseudo almost-periodic solutions for the studied model. To do so, t...

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Veröffentlicht in:Afrika mathematica 2019-09, Vol.30 (5-6), p.837-855
1. Verfasser: M’hamdi, Mohammed Salah
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper deals with a generalized multidirectional associative memory neural network with time-varying coefficients and mixed delays. Some criteria are established for the existence and the global exponential stability of weighted pseudo almost-periodic solutions for the studied model. To do so, the exponential dichotomy theory, the contraction mapping fixed point theorem and the differential inequality techniques are used. Moreover, an example and its numerical simulation are employed to illustrate the main results.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-019-00687-y