On the number of limit cycles in quadratic perturbations of quadratic codimension-four centres

DOI10.1088/0951-7715/24/9/007zbMath1236.34039arXiv1011.2253OpenAlexW2089137314MaRDI QIDQ3092772

Yulin Zhao

Publication date: 11 October 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2253

zbMATH Keywords

limit cyclesquadratic system

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

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