Correctness of the linearization method for the discrete system in one critical case

Title	Correctness of the linearization method for the discrete system in one critical case
Authors	E. V. Afinogentova¹ ¹National Research Mordovia State University
Annotation	The linearization method is widely used for the study of nonlinear models. The article considers the question of the correctness of such a method in the case of a discrete system for which the question of stability is not solved by a linear approximation, i.e. there is a critical case. A method is proposed for estimating the deviation of the nonlinear system solution from its linearized version in the critical case of a single unit root.
Keywords	discrete system, stability, critical case
Citation	Afinogentova E. V. ''Correctness of the linearization method for the discrete system in one critical case'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 134-138. Available at: https://conf.svmo.ru/files/2021/papers/article01.pdf. - Date of access: 20.04.2024.