From chaos to turbulence in Benard convection

Mathematics

Scientific paper

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Chaos, Rayleigh-Benard Convection, Strange Attractors, Transition Flow, Turbulent Flow, Fluid Flow, Helium, Singularity (Mathematics), Transition Points

Scientific paper

Recent results showing multifractal dimensions of attractors at the transition to a chaotic state for small-aspect-ratio cells of mercury are presented. Also, as the Rayleigh number is increased up to 10 to the 11th in He gas, a transition from a chaotic state to a 'soft turbulent state' and for a higher value of the control parameter to a 'hard turbulent state' is proposed.

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