Poincaré recurrences for rhythmical dynamics (Q2718005)

From MaRDI portal





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

    0 references
    0 references
    16 September 2002
    0 references
    symbolic systems
    0 references
    spectra of dimensions
    0 references
    Poincaré recurrences
    0 references
    Poincaré maps
    0 references
    multipermutative systems
    0 references
    Poincaré recurrences for rhythmical dynamics (English)
    0 references
    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.
    0 references

    Identifiers