Bifurcation of Limit Cycles from the Center of a Quintic System via the Averaging Method

DOI10.1142/S0218127417500729zbMath1367.34043MaRDI QIDQ4976144

Bo Huang

Publication date: 27 July 2017

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

zbMATH Keywords

perturbationbifurcationcenterlimit cycleaveraging methodhomogeneous polynomialperiod annulusquintic system

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) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

An algorithmic approach to small limit cycles of nonlinear differential systems: the averaging method revisited ⋮ Limit cycles for a discontinuous quintic polynomial differential system ⋮ LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS

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