Center conditions and bifurcation of limit cycles for a class of fifth degree systems

DOI10.1007/s11766-004-0051-8zbMath1069.34059OpenAlexW1979887993MaRDI QIDQ1764387

Wen-tao Huang, Yi-rong Liu

Publication date: 24 February 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-004-0051-8

zbMATH Keywords

center conditionsfifth degree systemseparate items singular point quantity

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)

Cites Work

• Bifurcation at infinity in polynomial vector fields
• Cubic systems and Abel equations
• Theory of center-focus for a class of higher-degree critical points and infinite points
• Center conditions for a lopsided quartic polynomial vector field
• A class of cubic systems with two centers or two foci
• On a new type of bifurcation of limit cycles for a planar cubic system
• Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields
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