An elementary approach to a generalized Hopf bifurcation

DOI10.1007/BF00942765zbMath0791.34033MaRDI QIDQ1312134

Franz Spirig

Publication date: 19 January 1994

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsHopf bifurcationLyapunov-Schmidt methodFourier seriesstability conditioncenter manifoldssystem of autonomous differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Bifurcation equation for planar systems of differential equations
• Bifurcation formulas for O.D.E.'S in n
• Existence of small periodic solutions of ordinary differential equations in \(\mathbb{R}^2\)

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