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An Approach to Error-Estimation in the Application of Dimension Algorithms

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Dimensions and Entropies in Chaotic Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 32))

Abstract

Three different methods for calculating the dimension of attractors are analyzed. An approach to error-estimation is presented and is used on various data sets. In some cases it is shown that the errors can become very large.

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References

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Author information

Authors and Affiliations

  1. Center for Nonlinear Studies, MS B258, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    J. Holzfuss & G. Mayer-Kress

Authors
  1. J. Holzfuss
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  2. G. Mayer-Kress
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Editor information

Editors and Affiliations

  1. Center for Nonlinear Studies, Los Alamos National Laboratory, Mail Stop: B258, Los Alamos, NM, 87545, USA

    Gottfried Mayer-Kress

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© 1986 Springer-Verlag Berlin Heidelberg

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Holzfuss, J., Mayer-Kress, G. (1986). An Approach to Error-Estimation in the Application of Dimension Algorithms. In: Mayer-Kress, G. (eds) Dimensions and Entropies in Chaotic Systems. Springer Series in Synergetics, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71001-8_15

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  • DOI: https://doi.org/10.1007/978-3-642-71001-8_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71003-2

  • Online ISBN: 978-3-642-71001-8

  • eBook Packages: Springer Book Archive

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