Unfoldings of degenerate hopf bifurcations with 0(2) symmetry

DOI10.1080/02681118608806010zbMath0656.34021OpenAlexW1973310456MaRDI QIDQ3803448

Wayne Nagata

Publication date: 1986

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681118608806010

zbMATH Keywords

bifurcationsinvariant toriO(2) symmetrytruncated normal formsdegenerate Hopf points

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

A classification of degenerate Hopf bifurcations with O(2) symmetry ⋮ A torus bifurcation theorem with symmetry

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
• Bifurcations in the presence of a symmetry group
• Quasi-Periodic Waves Along a Pulsating Propagating Front in a Reaction-Diffusion System
• Primary and secondary bifurcations in the Couette-Taylor problem
• Bifurcation and symmetry breaking in applied mathematics
• Bifurcating Periodic Solutions in Rotationally Symmetric Systems
• Hopf bifurcation in the presence of symmetry

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