Limit cycles for a class of $\mathbb{Z}_{2n}-$equivariant systems without infinite equilibria

zbMath1352.34044arXiv1510.00853MaRDI QIDQ5741150

Adrian C. Murza, Isabel Salgado Labouriau

Publication date: 22 July 2016

Full work available at URL: https://arxiv.org/abs/1510.00853

zbMATH Keywords

limit cycleplanar autonomous ordinary differential equationsymmetric polynomial system

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) Periodic orbits of vector fields and flows (37C27)

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