ОЦЕНКА ЗАТЯГИВАНИЯ ПОТЕРИ УСТОЙЧИВОСТИ В ДИФФЕРЕНЦИАЛЬНЫХ СИСТЕМАХ С ТРАЕКТОРИЯМИ-УТКАМИ

E.S. Golodova; Голодова Е.С.; E.A. Shchepakina; Щепакина Е.А.

doi:10.18287/2541-7525-2013-19-3-12-24

ESTIMATION OF DELAYED LOSS OF STABILITY IN DIFFERENTIAL EQUATIONS WITH CANARDS

Authors: Golodova E.¹, Shchepakina E.²
Affiliations:
1. Samara State University
2. Samara State Aerospace University
Issue: Vol 19, No 3 (2013)
Pages: 12-24
Section: Articles
URL: https://journals.ssau.ru/est/article/view/4613
DOI: https://doi.org/10.18287/2541-7525-2013-19-3-12-24
ID: 4613

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Abstract

The paper is devoted to the investigation of phenomenon of delayed loss of stability in singularly perturbed systems of ordinary differential equations. The estimation for delayed loss of stability is obtained for the differential system with a canard. The problem of maximal temperature of safe combustion determination is considered as an illustration for the obtained mathematical result.