Dimensions and Lyapunov Spectra From Measured Time Series of Taylor-Couette Flow

  • Thorsten Buzug
  • Torsten Reimers
  • Gerd Pfister
Part of the NATO ASI Series book series (NSSB, volume 225)


The extraction of Lyapunov spectra and fractal dimensions of chaotic attractors from experimental time series has become an important instrument in analyzing the dynamic properties of non linear systems [1]. Though the principle ideas are clear the practical handling of the estimation of dynamical properties depends sensitively on the quality of the reconstructed phase space of the attractor. Additionally all experimental data are covered with noise so that the algorithms used should be insensitive to external noise.


Reynolds Number Lyapunov Exponent Frequency Ratio Correlation Dimension Homoclinic Orbit 
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Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Thorsten Buzug
    • 1
  • Torsten Reimers
    • 1
  • Gerd Pfister
    • 1
  1. 1.Institut für Angewandte PhysikUniversität KielWest Germany

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