The monotonicity of ratios of some abelian integrals

DOI10.1016/j.bulsci.2020.102934zbMath1479.34062OpenAlexW3105636677WikidataQ114202574 ScholiaQ114202574MaRDI QIDQ2220332

Na Wang, Xian Bo Sun, Pei Yu

Publication date: 22 January 2021

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102934

zbMATH Keywords

limit cycleabelian integralweak Hilbert's 16th problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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 and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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Cites Work

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