https://doi.org/10.1140/epjp/s13360-023-04686-8
Regular Article
Modulated nerve impulse solution of memristive photosensitive neural networks
1
Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
2
Department of Electrical and Electronic Engineering, College of Technology, University of Buea, P.O. Box 63, Buea, Cameroon
3
Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
Received:
22
September
2023
Accepted:
11
November
2023
Published online:
25
November
2023
In this paper, a clear analytical approach is performed to show the emergence and propagation of traveling modulated nerve impulse signal in a network of meristive photosensitive neural networks. By transforming the model equation into a wave equation, we deduce the conditions permitting us to describe explicitly the exact nature of the nerve impulse propagating in the network via the reductive perturbation approach in the semi-discrete approximation limit. The result shows that the dynamics of the information signal could be modeled by the coupled complex Ginzburg–Landau equation with breathing solitonic solutions. The impact of the series expansion parameter on the propagating nerve impulse signal are presented and discussed. Breathing solitonic nerve impulse is confirmed as one of the precursors of information transport mode in neural networks.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
