An unfolding of the Takens-Bogdanov singularity

DOI10.1090/qam/1106393zbMath0731.58049OpenAlexW2471371264MaRDI QIDQ3357154

P. Hirschberg, Edgar Knoblauch

Publication date: 1991

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1106393

zbMATH Keywords

limit cyclesHopf bifurcationunfoldingTakens-Bogdanov singularity

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) Singular perturbations for ordinary differential equations (34E15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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