Hopf-steady-state mode interactions with 0(2) symmetry

DOI10.1080/02681119108806113zbMath0826.34036OpenAlexW2089714094MaRDI QIDQ3974544

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Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/02681119108806113

zbMATH Keywords

interaction of a steady-state bifurcation and a Hopf bifurcationmode-interactionsystem with O(2)-symmetry

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (8)

Classification and unfoldings of \(1:2\) resonant Hopf bifurcation ⋮ The 2:1 steady/Hopf mode interaction in the two-layer Bénard problem ⋮ 3-mode Interactions with O(2) Symmetry and a Model for Taylor-Couette flow ⋮ Strong resonance in two-dimensional non-Boussinesq convection ⋮ The \(1:\sqrt 2\) Hopf/steady-state mode interaction in three-dimensional magnetoconvection ⋮ Symmetry and bifurcation of periodic solutions in Neumann boundary value problems ⋮ Hopf bifurcation with \(D_ 3\times D_ 3\)-symmetry ⋮ Pattern formation for oscillatory bulk-mode competition in a two-layer Bénard problem

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Classification of Z(2)-Equivariant Imperfect Bifurcations with Corank 2
• Symmetry and Stability in Taylor-Couette Flow
• Primary and secondary bifurcations in the Couette-Taylor problem
• The Takens-Bogdanov bifurcation with O(2)-symmetry
• Hopf-Hopf mode interactions with O(2) symmetry
• Steady-state mode interactions in the presence of 0(2)-symmetry
• Stability of periodic solutions in symmetric Hopf bifurcation
• Rotating Chemical Waves in the Gray–Scott Model
• A theory for imperfect bifurcation via singularity theory
• Modulated rotating waves in O(2) mode interactions
• Bifurcating Periodic Solutions in Rotationally Symmetric Systems
• Hopf bifurcation in the presence of symmetry

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