Bifurcations of limit cycles in equivariant quintic planar vector fields

DOI10.1016/j.jmaa.2014.08.040zbMath1305.34052OpenAlexW2034815257MaRDI QIDQ458326

Lincheng Zhao

Publication date: 7 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.040

zbMATH Keywords

limit cycleAbelian integralequivariant vector fieldquintic system

Mathematics Subject Classification ID

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

On the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian system

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