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An attracting set that has zero Measure in the embedding Phase Space and has Fractal dimension. Trajectories within a strange attractor appear to skip around randomly.
See also Correlation Exponent, Fractal
References
Benmizrachi, A.; Procaccia, I.; and Grassberger, P. ``Characterization of Experimental (Noisy) Strange Attractors.''
Phys. Rev. A 29, 975-977, 1984.
Grassberger, P. ``On the Hausdorff Dimension of Fractal Attractors.'' J. Stat. Phys. 26, 173-179, 1981.
Grassberger, P. and Procaccia, I. ``Measuring the Strangeness of Strange Attractors.'' Physica D 9, 189-208, 1983a.
Grassberger, P. and Procaccia, I. ``Characterization of Strange Attractors.'' Phys. Rev. Let. 50, 346-349, 1983b.
Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press,
pp. 137-138, 1991.
Sprott, J. C. Strange Attractors: Creating Patterns in Chaos. New York: Henry Holt, 1993.