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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 49–57 (Mi vsgu30)  
Mathematics

Slow integral manifolds with a change of stability

T. V. Simonova

The Dept. of Differential Equations and Control Theory, Samara State University, Samara, 443011, Russian Federation
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Abstract: The paper is devoted to the investigation of slow integral manifolds with a change of stability in the case of vector fast variable. The existence conditions of the gluing function are given. The problem of construction of the integral manifold with a change of stability for systems with vector fast and slow variables is solved.
Keywords: singular perturbations, clutching function, integral manifold, change of stability.
Received: 22.09.2011
Accepted: 22.09.2011
Document Type: Article
UDC: 517.928.4
Language: Russian
Citation: T. V. Simonova, “Slow integral manifolds with a change of stability”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 49–57
Citation in format AMSBIB
\Bibitem{Sim12}
\by T.~V.~Simonova
\paper Slow integral manifolds with a change of stability
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 6(97)
\pages 49--57
\mathnet{http://mi.mathnet.ru/vsgu30}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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