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Parameter Stability Under Permanent Perturbations

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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.

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Authors and Affiliations

  1. Ryazan State University named for S. A. Yesenin, Ryazan, Russia

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

Authors
  1. V. V. Abramov
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  2. S. A. Belman
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  3. E. Yu. Liskina
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Correspondence to V. V. Abramov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 168, Proceedings of the International Conference “Geometric Methods in the Control Theory and Mathematical Physics” Dedicated to the 70th Anniversary of Prof. S. L. Atanasyan, 70th Anniversary of Prof. I. S. Krasil’shchik, 70th Anniversary of Prof. A. V. Samokhin, and 80th Anniversary of Prof. V. T. Fomenko. Ryazan State University named for S. Yesenin, Ryazan, September 25–28, 2018. Part I, 2019.

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Abramov, V.V., Belman, S.A. & Liskina, E.Y. Parameter Stability Under Permanent Perturbations. J Math Sci 262, 773–778 (2022). https://doi.org/10.1007/s10958-022-05855-3

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  • DOI: https://doi.org/10.1007/s10958-022-05855-3

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