Hopf-Takens bifurcations and centres

DOI10.1016/j.jde.2004.03.018zbMath1059.34026OpenAlexW1971136638MaRDI QIDQ1877847

Freddy Dumortier, Magdalena Caubergh

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.018

zbMATH Keywords

normal formsBautin idealLyapunov coefficientsHopf-Takens bifurcation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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