Asymptotics of the monodromy transformation in certain classes of monodromy germs

DOI10.1070/IM2013v077n02ABEH002635zbMath1349.34389OpenAlexW2056512552MaRDI QIDQ4923012

Anton S. Voronin, N. B. Medvedeva

Publication date: 5 June 2013

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

Full work available at URL: https://doi.org/10.1070/im2013v077n02abeh002635

zbMATH Keywords

focuscentremonodromic singular pointmonodromy transformationblowing up singularities

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Singularities of vector fields, topological aspects (58K45) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ The problem of distinguishing between a centre and a focus in the space of vector fields with given Newton diagram ⋮ Unnamed Item

Cites Work

• The asymptotics to the return map of a singular point with fixed Newton diagram
• 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
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