Nondegeneracy of Hopf points emanating from a \(Z_ 2\)-symmetry-breaking Takens-Bogdanov point

DOI10.1016/0893-9659(93)90003-6zbMath0773.34031OpenAlexW1969333593MaRDI QIDQ1802406

Wei Wu

Publication date: 11 August 1993

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(93)90003-6

zbMATH Keywords

Hopf bifurcation pointsnondegeneracy conditions\(\mathbb{Z}_ 2\)-equivariant dynamical system\(\mathbb{Z}_ 2\)-symmetry-breaking Takens-Bogdanov bifurcation pointsbifurcation of periodical orbitstwo- parameter

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Singularities and groups in bifurcation theory. Volume I
• A note on the calculation of paths of Hopf bifurcations
• The Calculation of Hopf Points by a Direct Method
• Numerical Determination of an Emanating Branch of Hopf Bifurcation Points in a Two-Parameter Problem

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