Strange Attractors

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The Lorenz Attractor

A strange attractor is an infinite-point attractor with non-integer dimension. The trajectory of a system characterized by a strange attractor never repeats itself, but still stays within a bounded region of state space. Strange attractors are a type of fractal, exhibiting self-similarity on all scales.

Examples of strange attractors include the Hénon attractor, Rössler attractor, Lorenz Attractor, Tamari attractor.