Bi-center problem and bifurcation of limit cycles from nilpotent singular points in \(Z_{2}\)-equivariant cubic vector fields

DOI10.1016/j.jde.2018.06.027zbMath1444.34054OpenAlexW2810279415WikidataQ129619531 ScholiaQ129619531MaRDI QIDQ1669799

Peng Zhang

Publication date: 4 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.jde.2018.06.027

zbMATH Keywords

limit cycleLyapunov constantcenter-focus problemnilpotent singular pointbi-center problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) 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)

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