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Computational Challenges of Nonlinear Systems

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Figure

Fig. 1 Patterns observed in the experiment of Hof et al. . (a)-(h) are all observed at Ra = 14 200.
Fig. 2 Overview of the patterns observed in time-dependent simulations of convection in a cylinder with insulating radial wall
Fig. 3 Bifurcation diagram for cylindrical convection. There are 17 branches of steady states, as well as the conductive branch (shown as the short-dashed horizontal line)
Fig. 4 Primary bifurcations from conductive state. The first four critical wavenumber and Rayleigh numbers are ( m = 1, Ra = 1828; black), ( m = 2, Ra = 1849; green), ( m = 0, Ra = 1861; red), and ( m = 3, Ra = 1985; blue) for the radius-to-height aspect r
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