Instabilities and spatio-temporal chaos in hexagon patterns with rotation

DOI10.1016/S0167-2789(00)00067-1zbMath0963.35161arXivpatt-sol/9810006MaRDI QIDQ1586877

Hermann Riecke, Filip Sain

Publication date: 28 June 2001

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9810006

zbMATH Keywords

rotating convectionSwift-Hohenberg equationspatio-temporal chaossideband instabilitieshexagon patterns

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rotation in hydrodynamic stability (76E07)

Related Items (6)

Spatiotemporal instabilities and pattern formation in systems of diffusively coupled Izhikevich neurons ⋮ Instabilities and spatio-temporal chaos of long-wave hexagon patterns in rotating Marangoni convection ⋮ Modulational stability of travelling waves in 2D anisotropic systems ⋮ NONPOTENTIAL EFFECTS IN NONLINEAR DYNAMICS OF MARANGONI CONVECTION ⋮ Induced defect nucleation and side-band instabilities in hexagons with rotation and mean flow ⋮ Emergence of Turing patterns and dynamic visualization in excitable neuron model

Cites Work

• Rotating Rayleigh-Benard convection: Kueppers-Lortz transition
• Pattern selection in long-wavelength convection
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• Bifurcation and stability of finite amplitude convection in a rotating layer
• Nonlinear Bénard-Marangoni convection in a rotating layer
• The Eckhaus instability in hexagonal patterns
• A perspective look at nonlinear media. From physics to biology and social sciences
• Instabilities of hexagonal patterns with broken chiral symmetry
• Large Cells in Nonlinear Rayleigh-Benard Convection
• Nonlinear Aspects of Competition Between Three Species
• Transition to chemical turbulence
• Transition from laminar convection to thermal turbulence in a rotating fluid layer

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