New results on the study of \(Z_q\)-equivariant planar polynomial vector fields

DOI10.1007/s12346-010-0024-7zbMath1213.34059OpenAlexW2049544062MaRDI QIDQ611138

Yi-rong Liu, Ji-Bin Li

Publication date: 14 December 2010

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-010-0024-7

zbMATH Keywords

symmetrylimit cyclesdynamical systemsbifurcation

Mathematics Subject Classification ID

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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