File:La fontaine turbulente.jpg

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English: "La fontaine turbulente" (the turbulent fountain) at the mathematics exhibit at the Cité des Sciences.

This fascinating objects is a very elegant example of deterministic chaos. On each arm of the wheel is a bucket with a hole. At the top, a trickle of water flows into the bucket beneath it. This small force is sufficient to move the wheel. Each bucket in turn receives some drops. Below the inclined plane, blades submerged in water regulate the system. The wheel, made of carbon fibre, turns with little friction, and the rate flow of water is perfectly regular. Yet the rotation stops, restarts, changes direction, accelerates, slows down, without ever being able to predict what will happen the next instant; the parameters that influence the movement are adjusted in such a manner that a tiny perturbation is enough to change the behaviour of the system.[1]

Français : «La fontaine turbulente» à l'exposition de mathématiques à la Cité des Sciences.

Cet objet fascinant constitue une illustration très élégante du chaos déterministe. Au bout de chacun des bras de la roue se trouve un godet percé. Au sommet, un filet d'eau s'écoule dans le godet au-dessous de lui. Cette faible impulsion suffit à ébranler la roue. Chaque godet, à son tour, reçoit quelques gouttes. Sous le plan incliné, des pales plongées dans l'eau régulent le système. La roue, en fibre de carbone, tourne avec peu de frottement et le débit de la fontaine est parfaitement régulier. Pourtant, la rotation s'arrête, repart, change de sens, accélère, ralentit, sans que l'on puisse jamais prédire ce qui va se produire l'instant d'après : les divers paramètres qui influent sur le mouvement sont ajustés de façon à ce qu'une infime perturbation suffise à modifier le comportement du système.[2]

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Author Eviatar Bach

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