Cyclicity of several planar graphics and ensembles through three singular points without generic conditions

DOI10.1016/j.jde.2008.04.024zbMath1156.34020OpenAlexW1975136536MaRDI QIDQ935124

Lincheng Zhao

Publication date: 31 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.024

zbMATH Keywords

limit cyclesgraphicscyclicityfinitely-smooth normal formtransition map

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

THE SEPARATRIX VALUES OF A PLANAR HOMOCLINIC LOOP ⋮ Regularization of Planar Piecewise Smooth Systems with a Heteroclinic Loop

Cites Work

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