scientific article; zbMATH DE number 7405325

DOI10.24411/2500-0101-2019-14303zbMath1470.34092MaRDI QIDQ5153833

N. B. Medvedeva, V. A. Viktorova

Publication date: 1 October 2021

Full work available at URL: http://mathnet.ru/eng/chfmj145

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zbMATH Keywords

centerfocusstability boundaryNewton diagrammonodromic singular pointmonodromy transformationanalytic solvability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Cites Work

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• On the analytic solvability of the problem of distinguishing between center and focus
• On an analytic solvability of the center-focus problem
• Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem
• Asymptotics of the monodromy transformation in certain classes of monodromy germs
• On analytic insolubility of the stability problem on the plane

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