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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
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.
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
Linking options:
https://www.mathnet.ru/eng/into496 https://www.mathnet.ru/eng/into/v168/p9
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Abstract page: | 122 | Full-text PDF : | 73 | References: | 12 |
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