Tests of the Period-Doubling Route to Chaos

  • Mitchell J. Feigenbaum
Part of the Springer Series in Synergetics book series (SSSYN, volume 12)


The period-doubling route to chaotic behavior has characteristic spectral and temporal properties which are here outlined.


Spectral Line Chaotic Behavior Period Doubling Universal Function Universal Rate 
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  1. 1.
    M.J. Feigenbaum, Phys. Lett. 74A, 375 (1979).CrossRefMathSciNetGoogle Scholar
  2. M.J. Feigenbaum, Comm. Math. Phys. 77, 65 (1980).CrossRefMATHADSMathSciNetGoogle Scholar
  3. 2.
    This formula first appeared as the scaling for the broadband Dart of a noisy spectrum in A. Wolf, J. Swift. University of Texas at Austin preprint “Universal Power Spectra for the Reverse Bifurcation Sequence” (1981).Google Scholar
  4. 3.
    M. Nauenberg, J. Rudnick, Universality and the power spectrum at the onset of chaos. Preprint UCSC (1981).Google Scholar
  5. 4.
    S. Grossman, S. Thomae. University of Marburg, preprint (1981).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Mitchell J. Feigenbaum
    • 1
  1. 1.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

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