## The Lorenz attractor

The Lorenz’ atmospheric model is what physicists use to call a toy model: although it is so oversimpliﬁed that it does not have much to do with reality anymore, Lorenz soon realized that this model was very interesting. If we consider two almost identical atmospheres (two points that are extremely close in Lorenz’ model), we tend to quickly see the separation of the two evolutions in a signiﬁcative way: the two atmospheres become completely diﬀerent. Lorenz saw on his model the sensitive dependence on initial conditions: chaos. Moreover, what is very interesting is that, starting from a large number of virtual atmospheres, even if they follow paths that seem a little bit crazy and unpredictable, they all accumulate on the same object shaped like a butterﬂy, a strange attractor.

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Imaginary are a pretty awesome organisation. They’re organising a conference on mathematics communication – call for talks until the 8th February. It looks great…

http://ic16.imaginary.org/#page-15