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On the numerical determination of the dimension of an attractor

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

Keywords

  • Probability Distribution
  • Probability Measure
  • Random Noise
  • Minimal Variance
  • Unbiased Estimate

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References

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

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

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

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

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

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

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© 1985 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15233-0

  • Online ISBN: 978-3-540-39411-2

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