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Homology and symmetry breaking in Rayleigh-Benard convection: Experiments and simulations

Kapilanjan Krishan, Huseyin Kurtuldu, Michael F. Schatz, Marcio Gameiro, Konstantin Mischaikow

nlin.PSarXiv:nlin/0701043

Abstract

Algebraic topology (homology) is used to analyze the weakly turbulent state of spiral defect chaos in both laboratory experiments and numerical simulations of Rayleigh-Benard convection.The analysis reveals topological asymmetries that arise when non-Boussinesq effects are present.

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