I once read a paper, in which:
- a fluid in a container was heated from below,
- after reaching temperature $T_1$, a circular motion (convection) was clearly distinguishable, in form of cylinder,
- after reaching temperature $T_2$, the circular motion splitted into two circular convections, side by side two cylinders,
- after reaching temperatures $T_3, T_4, \ldots$, etc. waves appeared on cyliders' flat-sides (where the height is measured),
- the frequency of the waves doubled at temperatures $T_4, T_5, \ldots$.
Ratio of every temperature pair $T_1/T_2, T_2/T_3, \ldots$ was the same as in logistic map ratios of parameter $r$, and in every other map - the Feigenbaum number, the period-doubling route to chaos.
I cannot find the paper again.. Does anyone remember such paper? Or maybe other?