Mode interactions in Rayleigh-Bénard convection

DOI10.1016/0167-2789(96)00041-3zbMath0899.76170OpenAlexW2053376060MaRDI QIDQ1919656

Stephen M. Cox

Publication date: 23 July 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00041-3

zbMATH Keywords

initial value problemcubic nonlinearityquadratic nonlinearity1:2 resonance1:3 resonanceasymmetrical caseated travelling wavesstable heteroclinic cyclesstable modulstable travelling wavessymmetrical casewavenumber gaps

Mathematics Subject Classification ID

Related Items (10)

Instabilities induced by a weak breaking of a strong spatial resonance ⋮ Invading wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave ⋮ Experimental observation of near-heteroclinic cycles in the von Kármán swirling flow ⋮ From stationary to complex time-dependent flows at moderate Rayleigh numbers in two-dimensional annular thermal convection ⋮ Dynamics in the 1:2 spatial resonance with broken reflection symmetry ⋮ Weakly nonlinear mode interactions in spherical Rayleigh–Bénard convection ⋮ On Langmuir circulation in 1 : 2 and 1 : 3 resonance ⋮ ROBUST HETEROCLINIC CYCLES IN TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION WITHOUT BOUSSINESQ SYMMETRY ⋮ THE 1:2 MODE INTERACTION IN RAYLEIGH–BÉNARD CONVECTION WITH AND WITHOUT BOUSSINESQ SYMMETRY ⋮ Solutions for nonlinear convection in the presence of a lateral boundary

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