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This article is cited in 4 scientific papers (total in 5 papers)
The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable
A. Yu. Kolesova, E. F. Mishchenkob a P. G. Demidov Yaroslavl State University
b V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Abstract:
It is assumed that the equilibrium state of the relaxation system
$$
\varepsilon\dot x=f(x,y), \qquad \dot y=g(x,y,\mu),
$$
where $x\in R^n$ and $y\in R$, passes generically through a point of discontinuity as $\mu$ varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.
Received: 17.11.1989
Citation:
A. Yu. Kolesov, E. F. Mishchenko, “The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable”, Mat. Sb., 181:5 (1990), 579–588; Math. USSR-Sb., 70:1 (1991), 1–10
Linking options:
https://www.mathnet.ru/eng/sm1190https://doi.org/10.1070/SM1991v070n01ABEH002117 https://www.mathnet.ru/eng/sm/v181/i5/p579
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Abstract page: | 423 | Russian version PDF: | 101 | English version PDF: | 18 | References: | 61 | First page: | 3 |
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