Normal form for generalized Hopf bifurcation with non-semisimple 1:1 resonance

DOI10.1007/BF00943508zbMath0855.58050OpenAlexW1979667376MaRDI QIDQ1328427

Nolan W. Evans, N. Sri Namachchivaya, Monica M. Doyle, William F. Langford

Publication date: 29 August 1994

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

Full work available at URL: https://doi.org/10.1007/bf00943508

zbMATH Keywords

Hopf bifurcationPoincaré-Birkhoff normal form

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A simple global characterization for normal forms of singular vector fields
• Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes
• Hopf bifurcation with non-semisimple 1:1 resonance
• Canonical transformations depending on a small parameter
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