Bifurcation of limit cycle for quadratic system with invariant parabola

DOI10.1007/BF02662862zbMath0839.34036OpenAlexW2000417282MaRDI QIDQ1904984

Suilin Cai, Xiangdong Xie

Publication date: 6 February 1996

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

Full work available at URL: https://doi.org/10.1007/bf02662862

zbMATH Keywords

invariant parabolalocation of the limit cycleplanar quadratic system

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)

Cites Work

• The quadratic system having a parabola as its integral curve has at most one limit cycle
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations

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