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Onset of Chaos in Duffing Oscillator Systems

  • J. R. Ackerhalt
  • H. W. Galbraith
  • P. W. Milonni
Conference paper

Abstract

The Duffing oscillator is a damped anharmonic oscillator with a periodic driving force.(2) This model can represent a non-degenerate laser-pumped normal mode which undergoes irreversible energy loss into unpumped background modes in a molecule.

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References

  1. 1.
    A recent study has been made by B. A. Huberman and J. P. Crutchfield, Phys. Rev. Lett. 43, 1743 (1979).ADSCrossRefGoogle Scholar
  2. 2.
    S. Novak and R. G. Frehlich, Phys. Rev. A 26, 3660 (1982).ADSCrossRefMathSciNetGoogle Scholar
  3. 3.
    J. N. Elgin, D. Forster and S. Sarkar, Phys. Lett. 94A, 195 (1983).CrossRefMathSciNetGoogle Scholar
  4. 4.
    A. N. Sharkovsky, Ukr. Mat. Zh. 16, 61 (1964); P. Stefan, Commun. Math Phys. 54, 237 (19777 and T. Y. Li and J. A. Yorke, Am. Mat. Monthly 8, 985 (1975).Google Scholar
  5. 5.
    In reference 3 these authors have discovered this same phenomenon for the Duffing oscillator.Google Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • J. R. Ackerhalt
    • 1
  • H. W. Galbraith
    • 1
  • P. W. Milonni
    • 1
  1. 1.Los Alamos National LaboratoryLos AlamosUSA

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