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Pseudo Almost Automorphic Solutions for Multidirectional Associative Memory Neural Network with Mixed Delays

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Abstract

In the paper, under some sufficient conditions, the existence and the global exponential stability of a pseudo almost automorphic solution to multidirectional associative memory (MAM) neural network with time-varying coefficients and mixed delays is obtained by combining both differential inequality techniques and the classical Banach’s fixed-point principle. As you will see, our results improve and generalize many previous known results in MAM. Finally, an example together with its numeric simulations show the feasibility and effectiveness of our main results.

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  1. Research Unit LaMOS, Department of Technology, Faculty of Technology, University of Bejaia, 06000, Bejaia, Algeria

    Mohammed Salah M’hamdi

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  1. Mohammed Salah M’hamdi
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Correspondence to Mohammed Salah M’hamdi.

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M’hamdi, M.S. Pseudo Almost Automorphic Solutions for Multidirectional Associative Memory Neural Network with Mixed Delays. Neural Process Lett 49, 1567–1592 (2019). https://doi.org/10.1007/s11063-018-9889-2

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