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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 6(80), Pages 93–105
(Mi vsgu198)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Integral manifolds for slow-fast systems and the stability loss delay
E. V. Schetinina
Dept. of Differential Equations and Control Theory,
Samara State University, Samara, 443011, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
The paper is devoted to the study of the slow-fast systems under the condition that the spectrum of the linear part of the fast subsystem consists of the pair of complex conjugate eigenvalues that cross the imaginary axis from left to right. It is proved that if we introduce the additional function into the system then the modified system has the slow integral manifold with change of stability.
Keywords:
integral manifolds, change of stability, stability loss delay, multiscale systems.
Received: 20.04.2010
Revised: 20.04.2010
Citation:
E. V. Schetinina, “Integral manifolds for slow-fast systems and the stability loss delay”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80), 93–105
Linking options:
https://www.mathnet.ru/eng/vsgu198 https://www.mathnet.ru/eng/vsgu/y2010/i6/p93
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| Abstract page: | 251 | | Full-text PDF : | 84 | | References: | 54 | | First page: | 1 |
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