Bashkirtseva, IrinaRyashko, LevUsed, JavierSeoane, Jesús M.Fernández Sanjuán, Miguel Ángel2023-12-182023-12-182023-01Irina Bashkirtseva, Lev Ryashko, Javier Used, Jesús M. Seoane, Miguel A.F. Sanjuán, Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model, Communications in Nonlinear Science and Numerical Simulation, Volume 116, 2023, 106867, ISSN 1007-5704, https://doi.org/10.1016/j.cnsns.2022.106867.1878-7274https://hdl.handle.net/10115/27394Russian Science Foundation (21-11-00062). Spanish State Research Agency (AEI) and the European Regional Development Fund (ERDF) under Project No. PID2019-105554GB-I00.The paper considers a stochastic version of the conceptual map-based Chialvo model of neural activity. Firstly, we focus on the parametric zone where this model exhibits monoand bistability with coexistence of equilibria and oscillatory spiking attractors forming closed invariant curves. Stochastic effects of excitement and generation of bursting are studied both numerically and analytically by confidence ellipses. A phenomenon of the noise-induced transition to chaos in a localized two-parametric zone is discussed. Besides, we also study the phenomenon of synchronization between neurons by using a two-neuron network with a small coupling. In this scenario, we have found critical values of noise for which we obtain a good performance for the synchronization between the neurons of the network.engAttribution-NonCommercial-NoDerivs 4.0 Internationalhttps://creativecommons.org/licenses/by-nc-nd/4.0/Nonlinear dynamicsMap-based neuron modelsNoise-induced effectsNeuronal dynamicsSynchronizationinfo:eu-repo/semantics/article10.1016/j.cnsns.2022.106867info:eu-repo/semantics/openAccess