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Bifurcation of limit cycles in a particular class of quadratic systems with two centres

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Publication:1340458
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DOI10.1006/jdeq.1994.1160zbMath0814.34024OpenAlexW2016007647MaRDI QIDQ1340458

Robert E. Kooij, Wim T. van Horssen

Publication date: 19 December 1994

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1160


zbMATH Keywords

limit cyclesbifurcationnumber of periodic orbitsquadratic systemsquadratic perturbationperiod annulus


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)


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A cubic Kolmogorov system with six limit cycles ⋮ Perturbations of quadratic centers ⋮ On intersections of a curve with hyperplanes, and the number of zeros of certain functions ⋮ Inhomogeneous Fuchs equations and the limit cycles in a class of near-integrable quadratic systems ⋮ Uniqueness of limit cycles and quotients of abelian integrals



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