Skip to main content

On the numerical determination of the dimension of an attractor

  • Conference paper
  • First Online:
Dynamical Systems and Bifurcations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1125))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P. Grassberger, I. Procaccia, On the characterization of strange attractors, Phys.Rev.Lett. 50 (1983), 346–349.

    Article  MathSciNet  MATH  Google Scholar 

  2. —, Measuring the strangeness of strange attractors, Physica 9 D (1983), 189–208.

    MathSciNet  MATH  Google Scholar 

  3. F. Takens, Detecting strange attractors in turbulence, in Dynamical systems and turbulence, Warwick 1980, Lecture Notes in Mathematics, 898, Springer-Verlag, Berlin.

    MATH  Google Scholar 

  4. —, Invariants related to dimension and entropy, in Atas do 13° colóqkio brasileiro de matemática, Rio de Janeiro, 1983.

    Google Scholar 

  5. B.L. van der Waerden, Mathematical Statistics, Grundlehren vol. 156, Springer Verlag, Berlin.

    Google Scholar 

  6. G.M. Zaslavskii, The simplest case of a strange attractor, Phys.Lett. 69 A (1978), 145–147.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Boele L. J. Braaksma Hendrik W. Broer Floris Takens

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Takens, F. (1985). On the numerical determination of the dimension of an attractor. In: Braaksma, B.L.J., Broer, H.W., Takens, F. (eds) Dynamical Systems and Bifurcations. Lecture Notes in Mathematics, vol 1125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075637

Download citation

  • DOI: https://doi.org/10.1007/BFb0075637

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15233-0

  • Online ISBN: 978-3-540-39411-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics