Limit cycles bifurcated from a class of quadratic reversible center of genus one

DOI10.1016/j.jmaa.2012.02.014zbMath1250.34033OpenAlexW2070705056MaRDI QIDQ413239

Yulin Zhao, Haihua Liang

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.014

zbMATH Keywords

perturbationbifurcationlimit cycleAbelian integralplanar quadratic reversible system

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) Bifurcation theory for ordinary differential equations (34C23) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items

Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle ⋮ Linear estimate for the number of zeros of abelian integrals ⋮ Quadratic perturbations of a class of quadratic reversible center of genus one ⋮ The cyclicity of a class of quadratic reversible centers defining elliptic curves ⋮ Evolutionary stable strategies and cubic vector fields ⋮ Every period annulus is both reversible and symmetric ⋮ Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center ⋮ The Number of Limit Cycles Bifurcating from a Quadratic Reversible Center ⋮ CYCLICITY OF PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH DEGENERATE CRITICAL POINT ⋮ Limit cycles near a homoclinic loop by perturbing a class of integrable systems ⋮ Centers with equal period functions

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