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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 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

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.

UDC: 517.928.4

Received: 22.09.2011
Accepted: 22.09.2011



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