The cyclicity of the period annulus of a class of quadratic reversible system

DOI10.3934/cpaa.2012.11.1269zbMath1272.34049OpenAlexW2322899659MaRDI QIDQ1947919

Yi Shao, Yulin Zhao

Publication date: 29 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.1269

zbMATH Keywords

limit cyclesperiod annuluszeros of abelian integralssmall quadratic perturbationreversible quadratic center

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) 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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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