Mathematical modeling

Application of unstable invariant manifolds for the modeling of critical phenomena

E. S. Dolgova

Samara National Research University

Abstract: This work is devoted to the critical conditions problem for an autocatalytic combustion model, taking into account the consumption of the reagent and oxidizer. To model critical phenomena, the asymptotic methods and technique for gluing of invariant manifolds are used.

Keywords: singular perturbations, invariant manifolds, stability, asymptotic methods, combustion, critical phenomena

UDC: 517.928

DOI: 10.25587/2411-9326-2025-1-104-105