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On Problems Encountered with Dimension Calculations

  • U. Hübner
  • W. Klische
  • N. B. Abraham
  • C. O. Weiss
Part of the NATO ASI Series book series (NSSB, volume 208)

Abstract

In an attempt to quantitatively confirm the presence of Lorenz-like chaos in optically pumped FIR lasers, we have calculated dimensions and entropies (using the algorithm of Grassberger-Procaccia (1983)) from intensity time series obtained from numerically integrating the Lorenz equations and from sampling the output of the laser.

Keywords

Plateau Region Slope Curve Bryn Mawr Scaling Region Lorenz Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Caputo, J. G., and Atten, P., 1987, Metric entropy: An experimental means for characterizing and quantifying chaos, Phvs. Rev. A, 35: 1311CrossRefGoogle Scholar
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  3. Grassberger, P., and Procaccia, I., 1983, b) Estimation of the Kolmogorov entropy from a chaotic signal, Phys. Rev. A, 28: 2591CrossRefGoogle Scholar
  4. Hübner, U., Abraham, N. B., and Weiss, C. O., 1989, Dimensions and entropies of chaotic intensity pulsations in a single mode FIR laser, Phvs. Rev. A, manuscript under review.Google Scholar
  5. Miler, M., Mitschke, F., Lange, W., Abraham, N. B., and Hübner, U., Errors from digitizing and noise in estimating attractor dimensions, Physics Letters, 1989, to be publishedGoogle Scholar
  6. Zeghlache, H., and Mandel, P., 1985, Influence of detuning on the properties of laser equations, J. Opt. Soc. Am. B, 2: 18CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • U. Hübner
    • 1
  • W. Klische
    • 1
  • N. B. Abraham
    • 2
  • C. O. Weiss
    • 1
  1. 1.Physikalisch-Technische BundesanstaltBraunschweigFed. Rep. Germany
  2. 2.Department of PhysicsBryn Mawr CollegeBryn MawrUSA

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