Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a cubic Lyapunov system

DOI10.1016/j.cnsns.2011.03.038zbMath1243.34041OpenAlexW1991085072MaRDI QIDQ430267

Yusen Wu, Haibo Chen, Pei-Luan Li

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.03.038

zbMATH Keywords

center problembifurcation of limit cyclesthree-order nilpotent critical points

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)

Related Items (4)

The isochronous center for Kukles homogeneous systems of degree eight ⋮ LIMIT CYCLE BIFURCATION FOR A NILPOTENT SYSTEM IN <i>Z</i>₃-EQUIVARIANT VECTOR FIELD ⋮ Local bifurcation of limit cycles and center problem for a class of quintic nilpotent systems ⋮ Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems

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• MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS

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