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- W788797546 abstract "Over the last few years, the description of the scaling properties of strange attractors has focused on the scaling properties of the closest return-distances as a function of time scale. Each moment of these return-distances is characterized by a different exponent. Also, a universality class characterizes the whole set of exponents. In this paper, it is shown that analogies with critical phenomena suggest that not only exponents but also amplitude ratios, as well as crossover functions, are universal quantities. These should also be as easily accessible experimentally as the exponents themselves. The special case of circle maps at, or near, the golden-mean winding number is discussed.KeywordsRenormalization GroupAmplitude RatioCritical PhenomenonStrange AttractorJoint Probability DistributionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W788797546 created "2016-06-24" @default.
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- W788797546 date "1988-01-01" @default.
- W788797546 modified "2023-10-17" @default.
- W788797546 title "Multifractal Analysis in the Circle Map: Analogies with Critical Phenomena" @default.
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- W788797546 doi "https://doi.org/10.1007/978-3-642-51005-2_36" @default.
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