The Complete Devil′s Staircase and Universality of Mode Locking Structures in Discrete Mappings View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1984

AUTHORS

M. Høgh Jensen , Per Bak , Tomas Bohr

ABSTRACT

We study mode locking in certain discrete mappings. The mode locking traces up a complete devil′s staircase of fractal dimension D ~ 0.87. This exponent is universal for a large class of functions and we expect to find similar behaviour in systems with two competing frequencies.

PAGES

265-269

References to SciGraph publications

  • 1977. Mesure de Lebesgue et Nombre de Rotation in GEOMETRY AND TOPOLOGY
  • 1978-07. Quantitative universality for a class of nonlinear transformations in JOURNAL OF STATISTICAL PHYSICS
  • Book

    TITLE

    Multicritical Phenomena

    ISBN

    978-1-4612-9698-0
    978-1-4613-2741-7

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4613-2741-7_23

    DOI

    http://dx.doi.org/10.1007/978-1-4613-2741-7_23

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1018694817


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