The Lorenz Attractor relates three parameters arising in fluid dynamics. It is one of the Chaos theory's most iconic images and illustrates the phenomenon now known as the butterfly effect or (more technically) sensitive dependence on initial conditions.

In first simulation, this sensitive dependence on initial conditions is illustrated. No matter how close states are initially they will follow completely different paths in future.

While in second, we see all states are attracted towards some stable states(in this case there are two).

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