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Period Doubling Bifurcation Route to Chaos

  • Marzio Giglio
  • Sergio Musazzi
  • Umberto Perini
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 77)

Abstract

A theory recently formulated by Feigenbaum1,2 predicts that the transition to chaotic behaviour via a sequence of period doubling bifurcations has a universal character. Although at this stage the extent at which the theory is applicable is not entirely clear, it is generally believed that it should hold for a large class of nonlinear systems, provided that phase trajectories remain confined in a phase region of adequately low dimension.

Keywords

Oscillatory Motion Period Doubling Bifurcation Beam Deflection Horizontal Temperature Gradient Fast Fourier Transform Analyzer 
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. l.
    M.J. Feigenbaum, Phys.Lett.74A, 375 (1979).MathSciNetADSGoogle Scholar
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    M.J. Feigenbaum, Commun.Math.Phys. 77, 65 (1980).MathSciNetADSMATHCrossRefGoogle Scholar
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    J. Maurer and A. Libchaber, J.Phys.(Paris) Lett.41, L515 (1980).CrossRefGoogle Scholar
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    A. Libchaber and J. Maurer, J.Phys (Paris) Coll. C 3 41, C 351 (1980).Google Scholar
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    J.P. Gollub and S.V. Benson, J.Fluid Meeh.100,449 (1980).ADSCrossRefGoogle Scholar
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    A. Libchaber, Lecture Notes in this volume.Google Scholar
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    M. Nauenberg and J. Rudnick, to be published.Google Scholar

Copyright information

© Plenum Press, New York 1982

Authors and Affiliations

  • Marzio Giglio
    • 1
  • Sergio Musazzi
    • 1
  • Umberto Perini
    • 1
  1. 1.CISE S.p.A.MilanoItaly

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