Stability of periodic solutions in symmetric Hopf bifurcation

DOI10.1080/02681118808806035zbMath0666.58032OpenAlexW2059659137MaRDI QIDQ3817337

I. N. Stewart

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/02681118808806035

zbMATH Keywords

stabilityperiodic solutionssingularitiesHopf bifurcation

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Hopf-steady-state mode interactions with 0(2) symmetry ⋮ 3-mode Interactions with O(2) Symmetry and a Model for Taylor-Couette flow ⋮ A Hopf bifurcation with spherical symmetry ⋮ Bifurcation and symmetry breaking

Cites Work

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• A simple global characterization for normal forms of singular vector fields
• Classification and unfoldings of degenerate Hopf bifurcations
• Global bifurcation of periodic solutions with symmetry
• Stability of bifurcating solutions in the presence of symmetry
• Hopf bifurcation in the presence of symmetry

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