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• W2048918629 abstract "Spherical Couette flow is studied with a view to elucidating the transitions between various axisymmetric steady‐state flow configurations. A stable, equatorially asymmetric state discovered by Bühler [Acta Mech. 81, 3 (1990)] consists of two Taylor vortices, one slightly larger than the other and straddling the equator. By adapting a pseudospectral time‐stepping formulation to enable stable and unstable steady states to be computed (by Newton’s method) and linear stability analysis to be conducted (by Arnoldi’s method), the bifurcation‐theoretic genesis of the asymmetric state is analyzed. It is found that the asymmetric branch originates from a pitchfork bifurcation; its stabilization, however, occurs via a subsequent subcritical Hopf bifurcation." @default.
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• W2048918629 date "1995-01-01" @default.
• W2048918629 modified "2023-10-18" @default.
• W2048918629 title "Asymmetry and Hopf bifurcation in spherical Couette flow" @default.
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• W2048918629 doi "https://doi.org/10.1063/1.868730" @default.
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