The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields

DOI10.1007/s101140100120zbMath1029.34031OpenAlexW2016063314MaRDI QIDQ5946546

Zhao Jun Liang, Lan-Sun Chen, Xin An Zhang

Publication date: 8 February 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100120

zbMATH Keywords

multiplicityequatorial periodic orbitplanar polynomial vector fields

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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

The multiplicity of the equatorial limit cycle of a class of planar polynomial vector fields

Cites Work

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• On a class of complete polynomial vector fields in the plane
• Limit cycles of a cubic Kolmogorov system
• Generalized Hopf bifurcations and applications to planar quadratic systems
• On hereditarily indecomposable Banach spaces

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