Geodesic
Parameter stability under constant perturbations
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 168 (2019), pp. 9-14

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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, monodromy operator, periodic solution.
Mots-clés : permanent perturbation 
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     title = {Parameter stability under constant perturbations},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {168},
     year = {2019},
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V. V. Abramov; S. A. Belman; E. Yu. Liskina. Parameter stability under constant perturbations. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 168 (2019), pp. 9-14. http://geodesic.mathdoc.fr/item/INTO_2019_168_a1/