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A box-assisted parallel algorithm to compute the Correlation Dimension from a time series

  • A. Corana
  • L. Milleri
  • S. Sciarretta
Posters
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1067)

Abstract

The proposed parallel algorithm computes the Correlation Dimension from a time series generated by a dynamical system, using a box-assisted approach and a virtual shared memory model. The algorithm is tested on a cluster of workstations; it shows good performance and allows the efficient computation of D2 also for high-dimensional systems, when an extremely large number of points is needed.

References

  1. 1.
    Abarbanel, H.D. et al.: The analysis of observed chaotic data in physical systems. Rev. Modern Physics 65 (1993) 1331–1392Google Scholar
  2. 2.
    Grassberger, P.: An optimized box-assisted algorithm for fractal dimensions. Physics Letters A 148 (1990) 63–68Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • A. Corana
    • 1
  • L. Milleri
    • 1
  • S. Sciarretta
    • 1
  1. 1.Istituto per i Circuiti ElettroniciConsiglio Nazionale delle RicercheGenovaItaly

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