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- W2079748497 abstract "Rayleigh-Benard convection in a small rectangular domain is studiedby the standard bifurcation analysis.The dynamics on the center manifold is calculated up to3rd order. By this normal form, it is possible to determine the local bifurcationstructures in principle. One can easily imagine that mixed mode solutionssuch as hexagonal, patchwork-quilt patterns are unstable from the knowledgeof amplitude equation:Ginzburg-Landau equation. However they are not necessarilysimilar to each other in a small rectangular domain.Several non-trivial stable mixed mode patterns are introduced." @default.
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- W2079748497 date "2006-01-01" @default.
- W2079748497 modified "2023-10-18" @default.
- W2079748497 title "Bifurcation analysis to Rayleigh-Bénard convection in finite box with up-down symmetry" @default.
- W2079748497 doi "https://doi.org/10.3934/cpaa.2006.5.383" @default.
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