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- W2043149437 abstract "A probabilistic model is used to determine the spectrum of scaling indices for the cross section of a strange attractor embedded in two-dimensional maps. The cross section is modeled by a probabilistic Cantor set. An ensemble of partitions is averaged to construct a mean partition function $mathcal{G}$ called the genealogy. Solving the genealogical equation $mathcal{G}=1$ determines $fensuremath{-}ensuremath{alpha}$ pairs, and thus the $f(ensuremath{alpha})$ spectrum. The Zaslavskii and H'enon maps are used as examples. The results of the calculation are smooth spectra." @default.
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- W2043149437 date "1987-11-01" @default.
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- W2043149437 title "Determining the spectrum of scaling indices for strange attractors in two-dimensional maps" @default.
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- W2043149437 doi "https://doi.org/10.1103/physreva.36.4567" @default.
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