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

DOI10.1142/S0218127415500479zbMath1314.34084MaRDI QIDQ5252719

Linping Peng, Zhao-sheng Feng

Publication date: 3 June 2015

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

zbMATH Keywords

bifurcationlimit cycleperiod annulusquintic systemthe averaging methodhomogeneous perturbation

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)

Related Items (5)

Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods ⋮ Limit cycles for a discontinuous quintic polynomial differential system ⋮ Bifurcation of Limit Cycles from the Center of a Quintic System via the Averaging Method ⋮ LIMIT CYCLES FOR TWO CLASSES OF PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS WITH UNIFORM ISOCHRONOUS CENTERS ⋮ Crossing limit cycles for discontinuous piecewise differential systems formed by linear Hamiltonian saddles or linear centers separated by a conic

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