Oscillatory convection in a rotating layer

DOI10.1016/0167-2789(93)90156-UzbMath0769.34029OpenAlexW2172225301MaRDI QIDQ1803803

Edgar Knoblauch, Mary Silber

Publication date: 29 June 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90156-u

zbMATH Keywords

asymptotic stabilityheteroclinic orbitKüppers-Lortz instabilityequivariant bifurcation theoryoscillatory rotating convectionstability of travelling and standing rollsstability with respect to oblique perturbationsstructurally stable heteroclinic cycletemporally periodic or quasiperiodic solutions

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Bifurcation theory for ordinary differential equations (34C23) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (9)

Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics ⋮ Robust heteroclinic cycles ⋮ Küppers-Lortz instability in rotating Rayleigh-Bénard convection in a porous medium ⋮ Fully nonlinear three-dimensional convection in a rapidly rotating layer ⋮ Convectons in a rotating fluid layer ⋮ Coexistence of infinitely many attractors in a simple flow ⋮ Rotating convection: recent developments ⋮ Pattern selection in oscillatory rotating convection ⋮ Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries

Cites Work

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• Rotating Rayleigh-Benard convection: Kueppers-Lortz transition
• Symmetries and pattern selection in Rayleigh-Bénard convection
• Singularities and groups in bifurcation theory. Volume II
• Symmetry-breaking Hopf bifurcation in anisotropic systems
• Structurally stable heteroclinic cycles
• Hopf bifurcation with the symmetry of the square
• Hopf bifurcation on a square lattice
• Weakly nonlinear oscillatory convection in a rotating fluid
• Heteroclinic cycles involving periodic solutions in mode interactions with O(2) symmetry
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Transition from laminar convection to thermal turbulence in a rotating fluid layer
• Hopf bifurcation in the presence of symmetry

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