Strange Attractor
An attractor is called strange if it has a fractal structure. This is often the case when the dynamics on it are chaotic, but there also exist strange attractors that are not chaotic. The term was coined by David Ruelle and Floris Takens to describe the attractor that resulted from a series of bifurcations of a system describing fluid flow. Strange attractors are often differentiable in a few directions, but some are like a Cantor dust, and therefore not differentiable. Strange attractors may also be found in presence of noise, where they may be shown to support invariant random probability measures of Sinai-Ruelle-Bowen type; see Chekroun et al. (2011).
Examples of strange attractors include the Double-scroll attractor, Hénon attractor, Rössler attractor, and the Lorenz attractor.
Read more about this topic: Stable Attractor, Types of Attractors
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