Description: There are many nonlinear differential equations for which two different types of behavior, such as chaos and periodicity, are interwoven in a complex and intricate manner, so that the bifurcation parameters form a ''fat fractal''. The result is that statistical averages vary wildly with parameters and, strictly speaking, prediction becomes impossible even in the statistical sense. (For example, climate, as well as weather, is unpredictable.) There is, however, order in this unpredictable behavior, which can be described by a universal strange attractor of the renormalization transformation.
Date: March 1, 1984
Creator: Farmer, J.D.
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