The criterion of the center-focus for a class of planar perturbed polynomial systems with (\(2n+1\))th degree

DOI10.1016/j.jmaa.2005.05.084zbMath1100.34024OpenAlexW2061396966MaRDI QIDQ2491688

Chengqiang Wu

Publication date: 29 May 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.084

zbMATH Keywords

centerfocuspolynomial systemhomogeneous perturbation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Cites Work

• Unnamed Item
• A class of cubic differential systems with 6-tuple focus
• A class of planar \(n\) (even number)-polynomial system with a weak focus of order \(n^ 2-n\)
• A cubic system with eight small-amplitude limit cycles
• Deriving some new conditions on the existence of eight limit cycles for a cubic system
• A class of cubic systems with two centers or two foci
• On the conditions of Kukles for the existence of a Centre
• The number of limit cycles of certain polynomial differential equations
• A Cubic System with Eight Small-Amplitude Limit Cycles

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