20.500.12556/DKUM-88775 Interlayer and intralayer synchronization in multiplex fractional-order neuronal networks Fractional-order models describing neuronal dynamics often exhibit better compatibility with diverse neuronal firing patterns that can be observed experimentally. Due to the overarching significance of synchronization in neuronal dynamics, we here study synchronization in multiplex neuronal networks that are composed of fractional-order Hindmarsh-Rose neurons. We compute the average synchronization error numerically for different derivative orders in dependence on the strength of the links within and between network layers. We find that, in general, fractional-order models synchronize better than integer-order models. In particular, we show that the required interlayer and intralayer coupling strengths for interlayer or intralayer synchronization can be weaker if we reduce the derivative order of the model describing the neuronal dynamics. Furthermore, the dependence of the interlayer or intralayer synchronization on the intralayer or interlayer coupling strength vanishes with decreasing derivative order. To support these results analytically, we use the master stability function approach for the considered multiplex fractional-order neuronal networks, by means of which we obtain sufficient conditions for the interlayer and intralayer synchronizations that are in agreement with numerical results. synchronization neuronal network multilayer network neuronal dynamics sinhronizacija nevronska mreža večplastno omrežje nevronska dinamika true false true Angleški jezik Slovenski jezik Znanstveno delo 2024-05-24 03:57:24 2024-05-28 14:40:36 2025-01-10 03:11:39 0000-00-00 00:00:00 2022 0 0 11 str. št. 10, št. članka 2240194 Letn. 30 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2021-12-12 2022-03-21 2022-10-19 53 127231235 10.1142/S0218348X22401946 0218-348X RAZ_Yan_Bo_2022.pdf RAZ_Yan_Bo_2022.pdf 1 67E2C750EB04F9E9DDFF8704AE844077 d866d480d3fff57cf3ddf3c047349e673868dfe91d96d43eb48c48417b433866 90122f6e-ce8d-11ef-8a9c-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=187713 https://doi.org/10.1142/S0218348X22401946 0 9a8eba08-ce8d-11ef-8a9c-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=187714 Fakulteta za naravoslovje in matematiko 0 0 0