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Separatrix cycles and mutiple limit cycles in a class of quadratic systems

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Publication:1336319
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DOI10.1006/jdeq.1994.1128zbMath0809.34045OpenAlexW2088361072MaRDI QIDQ1336319

André Zegeling

Publication date: 24 October 1994

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1128

zbMATH Keywords

separatrix cyclequadratic systemssingular perturbation theorymultiple limit cycle


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


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Non-existence of limit cycles for a quadratic system in class II, Bifurcation problem of critical points for quadratic differential systems, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, Ergodicity of limit cycles in quadratic systems, Bifurcation and distribution of limit cycles for quadratic differential systems of type II, Bifurcation of limit cycles for the quadratic differential system \((\text{III})_{l=n=0}\)



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