Approximate calculation of the coefficients of the Dulac series

DOI10.3103/S1066369X21100030zbMath1504.34026OpenAlexW3216084337MaRDI QIDQ2066412

N. B. Medvedeva

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21100030

zbMATH Keywords

centerfocusasymptotic representationNewton diagramHadamard integralmonodromic singular pointmonodromy transformationcorrespondence mappingDulac series

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Uses Software

• Maple

Cites Work

• Principal term of the monodromy transformation of a monodromic singular point is linear
• On the analytic solvability of the problem of distinguishing between center and focus
• Dulac's memoir “On limit cycles” and related problems of the local theory of differential equations
• Poincaré map for some polynomial systems of differential equations
• Symétrie et forme normale des centres et foyers dégénérés
• The problem of distinguishing between a centre and a focus in the space of vector fields with given Newton diagram
• On analytic insolubility of the stability problem on the plane
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