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.

本文考虑了基于概念图的神经活动 Chialvo 模型的随机版本。首先，我们关注参数区，该模型表现出单稳态和双稳态，平衡和振荡尖峰吸引子共存，形成闭合不变曲线。通过置信椭圆在数值和分析上研究兴奋和爆发产生的随机效应。讨论了在局部双参数区域中由噪声引起的向混沌过渡的现象。此外，我们还通过使用具有小耦合的双神经元网络来研究神经元之间的同步现象。在这种情况下，我们发现了噪声的临界值，为此我们获得了网络神经元之间同步的良好性能。