On the Limit Cycles of a Perturbed Z3-Equivariant Planar Quintic Vector Field

DOI10.1142/S021812741550073XzbMath1317.34038OpenAlexW1736331232MaRDI QIDQ5499877

Yunlei Ma, Yu-Hai Wu

Publication date: 5 August 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812741550073x

zbMATH Keywords

stabilitylimit cyclesbifurcationMelnikov functiondouble homoclinic loops

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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