The 16th Hilbert problem on algebraic limit cycles

DOI10.1016/j.jde.2011.06.008zbMath1365.34064arXiv1407.7946OpenAlexW2000616840MaRDI QIDQ639498

Xiang Zhang

Publication date: 22 September 2011

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

Full work available at URL: https://arxiv.org/abs/1407.7946

zbMATH Keywords

polynomial differential systemsalgebraic limit cyclesholomorphic singular foliationssimple version of the 16th Hilbert problem

Mathematics Subject Classification ID

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

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