Research into neural network models of the brain

Title	Research into neural network models of the brain
Authors	M. A. Chernova¹, T. F. Mamedova¹ ¹Volgograd State Social-Pedagogical University
Annotation	The article discusses the main models of neural networks the Hindmarsh-Rose and FitzHugh-Nagumo models, based on differential equations. It is shown that the choice of model depends on the studys objectives: for chaotic processes, the Hindmarsh-Rose model is preferable, for stable cycles is the FitzHugh-Nagumo model. Their combined using expands the possibilities of understanding the work of neural networks.
Keywords	the Hindmarsh-Rose model, the FitzHugh-Nagumo model, neural networks.
Citation	Chernova M. A., Mamedova T. F. ''Research into neural network models of the brain'' [Electronic resource]. Proceedings of the XVII International scientific conference "Differential equations and their applications in mathematical modeling". Saransk: SVMO Publ, 2025. - pp. 269-273. Available at: https://conf.svmo.ru/files/2025/papers/paper54.pdf. - Date of access: 18.10.2025.