Modulated rotating waves in O(2) mode interactions

DOI10.1080/02681118808806054zbMath0681.58029OpenAlexW2063677622MaRDI QIDQ4730509

John David Crawford, Martin Golubitsky, William F. Langford

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/02681118808806054

zbMATH Keywords

wavesHopf bifurcationinvariant toriO(2)-symmetryHopf-steady state interactionmodulated rotating

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Hopf-steady-state mode interactions with 0(2) symmetry, Bifurcations of stationary, standing and travelling waves in triply diffusive convection, Pattern formation and bistability in flow between counterrotating cylinders, 3-mode Interactions with O(2) Symmetry and a Model for Taylor-Couette flow, Period-doubling mode interactions with circular symmetry, Global mode interaction and pattern selection in the wake of a disk: a weakly nonlinear expansion, Quasi-periodic self-excited travelling waves for damped beam equations

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Classification and unfoldings of degenerate Hopf bifurcations
• Dynamics and symmetry. Predictions for modulated waves in rotating fluids
• Bifurcations in the presence of a symmetry group
• Periodic and Steady-State Mode Interactions Lead to Tori
• Symmetry and Stability in Taylor-Couette Flow
• Hopf bifurcation in the presence of symmetry
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