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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 168, Pages 9–14
DOI: https://doi.org/10.36535/0233-6723-2019-168-9-14 (Mi into496) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Parameter stability under constant perturbations

V. V. Abramov, S. A. Belman, E. Yu. Liskina

Ryazan State University S. A. Esenin
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DOI: https://doi.org/10.36535/0233-6723-2019-168-9-14
Abstract: For a normal periodic system of ordinary differential equations with a small parameter, we examine the stability property of the origin under the assumption that the right-hand side of the system has a critical linear approximation. The stability conditions are formulated in terms of estimates of the monodromy operator.
Keywords: differential equation, small parameter, stability, permanent perturbation, monodromy operator, periodic solution.
Document Type: Article
UDC: 517.925.51
MSC: 34D20, 34C25
Language: Russian
Citation: V. V. Abramov, S. A. Belman, E. Yu. Liskina, “Parameter stability under constant perturbations”, Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168, VINITI, Moscow, 2019, 9–14
Citation in format AMSBIB
\Bibitem{AbrBelLis19}
\by V.~V.~Abramov, S.~A.~Belman, E.~Yu.~Liskina
\paper Parameter stability under constant perturbations
\inbook Proceedings   of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25--28, 2018. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 168
\pages 9--14
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into496}
\crossref{https://doi.org/10.36535/0233-6723-2019-168-9-14}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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