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Oscillators coupled by pulling on each other's frequency. Mathematical phenomenon of order emerging from chaos. A research area worked on by Norbert Wiener, Art Winfree, Yoshiki Kuramoto, Steven Strogatz and many others. Visualized here by means of a rudimentary javascript simulation.

These circle-running dots have different starting positions within the lane and their speeds are different. At the beginning they are chaotically lined up. You can arrange them in such a way again and again by pushing the 'reset' button. The histogram shows the current distribution of frequencies among the oscillators. The bell-shaped curve represents a normal distribution of frequencies which correspond to the speeds they run along the lane at.

As time goes by and the dots affecting each other, they tend to synchronize. A bias in terms of creating groups or neighborhoods around each other becomes observable. The dots condensate or concentrate, even though you'll see still some of them running the lane in a fast tempo or some very slow.

Coupled Oscillators

Order emerging from chaos


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