Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation

DOI10.4171/JEMS/122zbMath1140.30015arXivmath/0603534MaRDI QIDQ2425592

Nina Roytvarf, Jean-Pierre Françoise, Yosef Yomdin

Publication date: 6 May 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603534

zbMATH Keywords

polynomial system

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations in the complex domain (34M99) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items

Singularities for analytic continuations of holonomy germs of Riccati foliations, Analytic continuation and fixed points of the Poincaré mapping for a polynomial Abel equation, Singular sets of holonomy maps for algebraic foliations, Parametric centers for trigonometric Abel equations, Abel differential equations admitting a certain first integral, Algebraic geometry of Abel differential equation, Perturbation theory of a symmetric center within Liénard equations

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