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The leading term of the first return map of a singular point with a fixed Newton diagram

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Publication:1365711
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zbMath0902.34027MaRDI QIDQ1365711

N. B. Medvedeva

Publication date: 17 August 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

Newton diagramdynamic systemsnondegeneracyPoincaré function


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Asymptotic expansions of solutions to ordinary differential equations (34E05)


Related Items (2)

EXPLICIT DERIVATION OF RETURN MAPS FOR PLANAR VECTOR FIELDS WITH NILPOTENT LINEAR PART WITH A CENTER OR A FOCUS ⋮ The return map for a planar vector field with nilpotent linear part: a direct and explicit derivation




Cites Work

  • Principal term of the monodromy transformation of a monodromic singular point is linear




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