Generic Hopf bifurcation from lines of equilibria without parameters. I: Theory

DOI10.1006/jdeq.2000.3779zbMath0978.34035OpenAlexW1848162227MaRDI QIDQ1585982

Bernold Fiedler, Stefan Liebscher, James C. Alexander

Publication date: 13 March 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3779

zbMATH Keywords

nondegeneracygeneric Hopf bifurcationline of equilibria

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

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• Global bifurcations of phase-locked oscillators
• Dynamical systems V. Bifurcation theory and catastrophe theory. Transl. from the Russian by N. D. Kazarinoff
• Functional equations and conjugacy of local diffeomorphisms of a finite smoothness class
• Generic Hopf Bifurcation From Lines of Equilibria Without Parameters: II. Systems of Viscous Hyperbolic Balance Laws
• GENERIC HOPF BIFURCATION FROM LINES OF EQUILIBRIA WITHOUT PARAMETERS III: BINARY OSCILLATIONS

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