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Measures of Dimensions from Astrophysical Data

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Measures of Complexity and Chaos

Part of the book series: NATO ASI Series ((NSSB,volume 208))

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Abstract

The complexity of a system may have numerous aspects, and the problems to define complexity in a generally relevant manner seem to increase self-similarly with the intensity of corresponding efforts. In this sense it is certainly a complex task to provide a compulsory concept of the notion of complexity. In the present contribution we deal with dimensions as measures of complexity. Mathematically the concept of dimensions reflects the scaling properties of point distributions on a given support. Speaking in terms of physical systems, this support is usually a vector space. Studying the structural properties of a system refers simply to structures in position space, whereas functional properties of a system are related to the structure of its dynamics in phase space.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für extraterrestrische Physik, D-8046, Garching, Germany

    H. Atmanspacher, V. Demmel, G. Morfill, H. Scheingraber, W. Voges & G. Wiedenmann

Authors
  1. H. Atmanspacher
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  2. V. Demmel
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  3. G. Morfill
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  4. H. Scheingraber
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  5. W. Voges
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  6. G. Wiedenmann
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Editor information

Editors and Affiliations

  1. Department of Physics, Bryn Mawr College, 19010-2899, Bryn Mawr, Pennsylvania, USA

    Neal B. Abraham  & Alfonso M. Albano  & 

  2. Naval Air Development Center, 18974, Warminster, Pennsylvania, USA

    Anthony Passamante

  3. Department of Physiology and Biochemistry, The Medical College of Pennsylvania, 3300 Henry Ave., 19129, Philadelphia, Pennsylvania, USA

    Paul E. Rapp

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© 1989 Plenum Press, New York

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Atmanspacher, H., Demmel, V., Morfill, G., Scheingraber, H., Voges, W., Wiedenmann, G. (1989). Measures of Dimensions from Astrophysical Data. In: Abraham, N.B., Albano, A.M., Passamante, A., Rapp, P.E. (eds) Measures of Complexity and Chaos. NATO ASI Series, vol 208. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0623-9_3

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  • DOI: https://doi.org/10.1007/978-1-4757-0623-9_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0625-3

  • Online ISBN: 978-1-4757-0623-9

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