Estimates for the number of limit cycles of the planar polynomial differential systems with homogeneous nonlinearities

DOI10.1016/j.jde.2024.04.021MaRDI QIDQ6584906

Jinfeng Li, Jianfeng Huang

Publication date: 8 August 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

limit cyclesfocuspolynomial differential systemsnilpotent singularitynodehomogeneous nonlinearities

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

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