On the number of limit cycles of a \(Z_{4}\)-equivariant quintic polynomial system

DOI10.1016/j.amc.2010.04.014zbMath1201.34053OpenAlexW2058179926MaRDI QIDQ984330

Weijiao Xu, Mao'an Han

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.014

zbMATH Keywords

limit cycleHopf bifurcationpolynomial systemheteroclinic loop\(\mathbb{Z}_4\)-equivariance

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Simultaneity of centres in ℤ _q -equivariant systems ⋮ Limit cycles bifurcated from some \(Z_4\)-equivariant quintic near-Hamiltonian systems ⋮ Bifurcations in a Cubic System with a Degenerate Saddle Point

Cites Work

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