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, Issue 3(104),Pages <nobr>12

This article is cited in 2 papers

Mathematics

Estimation of delayed loss of stability in differential equations with canards

E. S. Golodova^a, E. A. Shchepakina^b

^a Samara State University, Samara, 443011, Russian Federation
^b Samara State Aerospace University, Samara, 443086, Russian Federation

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.

UDC: 517.925.51

Received: 03.12.2012
Revised: 03.12.2012