Abstract

Mixtures of 3 He in superfluid 4 He provide an interesting and important system for testing theories of convection and for studying nonlinear dynamics. Here we describe experimental observations of chaotic bursting in a convecting layer of 3 He -superfluid-4 He . For aspect ratio Γ=6.0 and Prandtl number Pr=0.3, we find intermittent bursts out of a chaotic state. This state evolved via a series of well-defined transitions involving established routes to chaos. Above the onset of bursting the average length of a burst-free region l varies as a power law: l ∝(R−Rb)−γ with γ=4.6; a power-law dependence of l is expected. An unexpected result is that the average length of a burst varies as (R−Rb)δ with δ=2.0. In addition, a particularly novel state was seen for Γ=4.25 and Pr=0.12, where there occurs a reversible switching transition involving two chaotic attractors.

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