Noise-induced complex dynamics and synchronization in the map-based Chialvo neuron model

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 mono -and 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.(c) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper considers a stochastic version of the Chialvo model of neural activity, focusing on its mono- and bistability and the phenomenon of oscillatory spiking attractors forming closed invariant curves. The stochastic effects of excitement and bursting generation are studied numerically and analytically. The paper also discusses the noise-induced transition to chaos in a two-parametric zone and the synchronization phenomenon between neurons in a two-neuron network.