On the numerical determination of the dimension of an attractor

P. Grassberger, I. Procaccia, On the characterization of strange attractors, Phys.Rev.Lett. 50 (1983), 346–349.
Article MathSciNet MATH Google Scholar
—, Measuring the strangeness of strange attractors, Physica 9 D (1983), 189–208.
MathSciNet MATH Google Scholar
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
—, Invariants related to dimension and entropy, in Atas do 13° colóqkio brasileiro de matemática, Rio de Janeiro, 1983.
Google Scholar
B.L. van der Waerden, Mathematical Statistics, Grundlehren vol. 156, Springer Verlag, Berlin.
Google Scholar
G.M. Zaslavskii, The simplest case of a strange attractor, Phys.Lett. 69 A (1978), 145–147.
Article MathSciNet Google Scholar

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Mathematisch Instituut, Postbus 800, 9700 AV, Groningen, The Netherlands
F. Takens

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

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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
Published: 16 September 2006
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15233-0
Online ISBN: 978-3-540-39411-2
eBook Packages: Springer Book Archive

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