Cyclicity of nilpotent centers with minimum Andreev number

DOI10.1007/s40879-018-0304-3zbMath1458.34062OpenAlexW2900637666WikidataQ128990578 ScholiaQ128990578MaRDI QIDQ2010410

Isaac A. García

Publication date: 27 November 2019

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/67895

zbMATH Keywords

cyclicitynilpotent centerinverse integrating factormonodromic singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor ⋮ Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class

Uses Software

• SINGULAR
• primdec

Cites Work

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