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A new type of universality associated with the onset of a deterministic diffusion for systems described by iterative one-dimensional maps is reported. The diffusion coefficient D plays the role of an order parameter with a universal critical exponent. For the presence of external noise, the existence of a universal scaling function d is shown. An analytic expression is derived for d which is in good agreement with results of a numerical experiment.
Geisel et al. (Mon,) studied this question.
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