Application of unstable invariant manifolds for the modeling of critical phenomena
https://doi.org/10.25587/2411-9326-2025-1-104-105
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.
About the Author
E. S. Dolgova
Samara National Research University
Russian Federation
Russian Federation
Elizaveta S. Dolgova
34 Moskovskoye highway, 443086 Samara
References
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3. Sobolev V. A., Shchepakina E. A. Critical conditions of a thermal explosion in the case of autocatalytic combustion with account reagent and oxidant consumption // 2023 16th International Conference Management of large-scale system development (MLSD). Moscow: IEEE, 2023. P. 1–4.
Review
For citations:
Dolgova E.S. Application of unstable invariant manifolds for the modeling of critical phenomena. Mathematical notes of NEFU. 2025;32(1):104-105. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-104-105
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