Spectra of scaling indices for fractal measures: Theory and experiment (Q1819805)
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scientific article; zbMATH DE number 3994610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectra of scaling indices for fractal measures: Theory and experiment |
scientific article; zbMATH DE number 3994610 |
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Spectra of scaling indices for fractal measures: Theory and experiment (English)
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1986
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Let \(\mu\) be a measure on the line, and let f(\(\alpha)\) be the fractal dimension of the set of points x such that the \(\mu\)-measures of small \(\ell\)-neighborhoods of x behave like \(\ell^{\alpha}\). The paper discusses the role of the spectrum of f in describing the structure of fractal measures on some strange attractors.
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transitions to chaos
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period-doubling
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Rayleigh-Bénard system
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strange attractors
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fractal dimension
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fractal measures
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