On the metric properties of the Feigenbaum attractor View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1987-05

AUTHORS

Erik Aurell

ABSTRACT

The two standard literature definitions of the function associated with the Feigenbaum attractor are not equivalent. The method due to Vulet al. and Feigenbaum is used to calculate the Haussdorff dimension of the Feigenbaum attractor, using as input the trajectory scaling functions. The two calculations yield the same Hausdorff dimensionD=0.5380451435 to within the accuracy of the computation. More... »

PAGES

439-458

References to SciGraph publications

  • 1978-07. Quantitative universality for a class of nonlinear transformations in JOURNAL OF STATISTICAL PHYSICS
  • 1980-02. The transition to aperiodic behavior in turbulent systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1981-09. On the Hausdorff dimension of fractal attractors in JOURNAL OF STATISTICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01007519

    DOI

    http://dx.doi.org/10.1007/bf01007519

    DIMENSIONS

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