On the period function of a class of reversible quadratic centers

DOI10.1007/s10114-011-9364-8zbMath1226.34034OpenAlexW1494501804WikidataQ126591327 ScholiaQ126591327MaRDI QIDQ546337

Yulin Zhao, Haihua Liang

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9364-8

zbMATH Keywords

monotonicityPicard-Fuchs equationsperiod functionAbelian integrals

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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)

Related Items (3)

A criticality result for polycycles in a family of quadratic reversible centers ⋮ New lower bound for the number of critical periods for planar polynomial systems ⋮ Algebraic and analytical tools for the study of the period function

This page was built for publication: On the period function of a class of reversible quadratic centers