Stability of oscillating hexagons in rotating convection

DOI10.1016/S0167-2789(00)00101-9zbMath0963.35176arXivnlin/0002038OpenAlexW1978585261WikidataQ127065575 ScholiaQ127065575MaRDI QIDQ1587733

Hermann Riecke, Blas Echebarria

Publication date: 3 December 2000

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

Full work available at URL: https://arxiv.org/abs/nlin/0002038

zbMATH Keywords

Ginzburg-Landau equationrotating convectiontraveling wavesspatio-temporal chaosphase equationhexagon patternsside-band instabilities

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Rotation in hydrodynamic stability (76E07)

Related Items (2)

Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow

Cites Work

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• Rotating Rayleigh-Benard convection: Kueppers-Lortz transition
• Phase turbulence in the two-dimensional complex Ginzburg-Landau equation
• Numerical study of a Lyapunov functional for the complex Ginzburg-Landau equation
• Bifurcation and stability of finite amplitude convection in a rotating layer
• Pattern formation in rotating Bénard convection
• Conjectures about phase turbulence in the complex Ginzburg-Landau equation
• Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry
• Instabilities of hexagonal patterns with broken chiral symmetry
• Instabilities of one-dimensional cellular patterns
• Pattern dynamics and heat transport in rotating Rayleigh–Bénard convection
• The disintegration of wave trains on deep water Part 1. Theory
• Transition from laminar convection to thermal turbulence in a rotating fluid layer
• Hole solutions in the 1D complex Ginzburg-Landau equation

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