Cubic homogeneous polynomial centers

DOI10.5565/PUBLMAT_Extra14_16zbMath1321.34048OpenAlexW1986590397MaRDI QIDQ482178

Jaume Llibre, Chengzhi Li

Publication date: 19 December 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5565/publmat_extra14_16

zbMATH Keywords

limit cycleaveraging theorycubic homogeneous polynomial center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (3)

On the center criterion of planar quasi-homogeneous polynomial differential systems ⋮ Limit cycles bifurcating from planar polynomial quasi-homogeneous centers ⋮ Classification of a class of systems of cubic ordinary differential equations

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