Direct determination of the f(α) singularity spectrum
Ashvin B. ChhabraMason Laboratory, P.O. Box 2159, Yale University, New Haven, Connecticut 06520Roderick V. JensenMason Laboratory, P.O. Box 2159, Yale University, New Haven, Connecticut 06520
1989en
ABI
Annotatsiya
The direct determination of the f(\ensuremath{\alpha}) singularity spectrum from experimental data is a difficult problem. This Letter introduces a simple method for computing f(\ensuremath{\alpha}) based on the theorems of Shannon, Eggelston, and Billingsley which is markedly superior to other recently proposed methods, especially when dealing with experimental data from low-dimensional chaotic systems where the underlying dynamics are unknown.
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