Note on the unfolding of degenerate Hopf bifurcation germs

DOI10.1016/0022-0396(85)90064-6zbMath0528.34045OpenAlexW2091245525MaRDI QIDQ787008

Isabel Salgado Labouriau

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90064-6

zbMATH Keywords

non-linear oscillationsstable perturbationsbifurcation digramHopf bifurcation germslocal Hopf bifurcation problemssingularities of differential maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• Classification and unfoldings of degenerate Hopf bifurcations
• A theory for imperfect bifurcation via singularity theory

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