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Journal of Statistical Physics

, Volume 47, Issue 3–4, pp 439–458 | Cite as

On the metric properties of the Feigenbaum attractor

  • Erik Aurell
Articles

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.

Key words

Period-doubling fractal dimensions trajectory scaling functions 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • Erik Aurell
    • 1
  1. 1.Institute of Theoretical PhysicsChalmers University of Technology and University of GöteborgGöteborgSweden

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