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Stability analysis of the Hindmarsh-Rose model for some variables

TitleStability analysis of the Hindmarsh-Rose model for some variables
AuthorsT. F. Mamedova1, M. A. Kutyrkina1
1National Research Mordovia State University
AnnotationThe article describes the application of the comparison method of E.V. Voskresensky to the stability analysis of the Hindmarsh-Rose mathematical model for some variables. It is concluded that the model is stable for all variables and is applicable for further forecasts.
KeywordsHindmarsh-Rose model, comparison method, reference functions.
CitationMamedova T. F., Kutyrkina M. A. ''Stability analysis of the Hindmarsh-Rose model for some variables'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 26-28, 2024). Saransk: SVMO Publ, 2024. - pp. 119-124. Available at: https://conf.svmo.ru/files/2024/papers/paper20.pdf. - Date of access: 16.10.2024.