Systematic Errors in Estimating Dimensions from Experimental Data

  • W. Lange
  • M. Möller
Part of the NATO ASI Series book series (NSSB, volume 208)


The necessity of characterizing chaotic dynamics quantitatively by assigning to them measures like the dimension of the underlying attractor or the entropy production of the system has generally been accepted. The corresponding methods are practiced now by many experimentalists. Most of them have adopted the method by Grassberger and Procaccia [1] that requires only a single-variable time series by making use of the embedding technique originally proposed by Takens [2] Though the validity of the method is beyond any doubt, its practical application presents problems, since it relies on assumptions which are not generally fulfilled in the experiment.


Lyapunov Exponent Strange Attractor Chaotic Signal Lyapunov Dimension Average Length Scale 
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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • W. Lange
    • 1
  • M. Möller
    • 1
  1. 1.Institut für Angewandte PhysikWestfälischen Wilhelms-Universität MünsterMünsterFederal Republic of Germany

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