Local bifurcations and a survey of bounded quadratic systems

DOI10.1006/jdeq.2000.3777zbMath0961.34029OpenAlexW2067984161MaRDI QIDQ1584733

Chris Herssens, Freddy Dumortier, Lawrence M. Perko

Publication date: 28 May 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3777

zbMATH Keywords

limit cycleslocal bifurcationssaddle-nodefinite cyclicitybounded quadratic systemsBogdanov-Takens bifurcationsHopf-Takens bifurcations

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 singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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