Poincaré recurrences for rhythmical dynamics (Q2718005)
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scientific article; zbMATH DE number 1606224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poincaré recurrences for rhythmical dynamics |
scientific article; zbMATH DE number 1606224 |
Statements
16 September 2002
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symbolic systems
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spectra of dimensions
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Poincaré recurrences
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Poincaré maps
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multipermutative systems
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Poincaré recurrences for rhythmical dynamics (English)
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This paper deals with rhythmical dynamics. Such dynamics are much richer than the familiar ones, since a large amount of the information can be hidden in return times. Here the authors consider rhythmical dynamical systems modeled by some symbolic systems. They study spectra of dimensions for Poincaré recurrences and derive some general formulas for two models. One of them describes a situation for Poincaré maps, the other one deals with multipermutative systems and sticky sets.
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