Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers

DOI10.1142/S0218127418501456zbMath1405.34028MaRDI QIDQ4560143

Yun Tian, Jaume Llibre

Publication date: 5 December 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cycleperiodic orbitbifurcation from centerquadratic vector fieldscyclicity of period annulus

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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

Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems, Limit cycle bifurcations in perturbations of a reversible quadratic system with a non-rational first integral

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