Bifurcation of the separatrix skeleton in some 1-parameter families of planar vector fields

DOI10.1016/j.jde.2015.02.036zbMath1325.34052OpenAlexW2046370198MaRDI QIDQ2343526

Magdalena Caubergh

Publication date: 6 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.02.036

zbMATH Keywords

limit cycleHilbert's 16th problemrotated vector fieldglobal phase portraitnilpotent center problemseparatrix skeleton

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) 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)

Related Items (1)

New criterions on stability and order of analytic nilpotent foci

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