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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 3(104), Pages 12–24
(Mi vsgu322)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Estimation of delayed loss of stability in differential equations with canards
E. S. Golodovaa, E. A. Shchepakinab a Samara State University, Samara, 443011, Russian Federation
b Samara State Aerospace University, Samara, 443086, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Keywords:
delayed loss of stability, canards, singularly perturbed systems of differential equations.
Received: 03.12.2012 Revised: 03.12.2012
Citation:
E. S. Golodova, E. A. Shchepakina, “Estimation of delayed loss of stability in differential equations with canards”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 3(104), 12–24
Linking options:
https://www.mathnet.ru/eng/vsgu322 https://www.mathnet.ru/eng/vsgu/y2013/i3/p12
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Abstract page: | 283 | Full-text PDF : | 106 | References: | 51 |
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