Parameter Stability Under Permanent Perturbations

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 th...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-04, Vol.262 (6), p.773-778
Main Authors: Abramov, V. V., Belman, S. A., Liskina, E. Yu
Format: Article
Language:English
Subjects:
Differential equations
Mathematics
Mathematics and Statistics
Parameters
Perturbation
Stability
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05855-3