On the limit cycles bifurcating from an ellipse of a quadratic center

DOI10.3934/dcds.2015.35.1091zbMath1325.34055OpenAlexW2080034437MaRDI QIDQ478073

Dana Schlomiuk, Jaume Llibre

Publication date: 3 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.1091

zbMATH Keywords

limit cycleperiodic orbitbifurcation from centerinverse integrating factorquadratic systemscyclicity of the period annulusquadratic center

Mathematics Subject Classification ID

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

Related Items (4)

Algebraic limit cycles for quadratic polynomial differential systems ⋮ Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve ⋮ Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems

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