Experimental Observation of Type-I and Type-II Intermittencies

  • Eric Ringuet
  • Claude Roze
  • Gérard Gouesbet

Abstract

Intermittences have been extensively studied since 1980 when Pomeau and Manneville1 found that kind of behaviour in the Lorenz model where a limit cycle becomes unstable near R = 166. They proposed three types of intermittencies related to the destabilization of a limit cycle. The first and the third ones are known both theoretically and experimentally2–4. However, if the type-II intermittency has been found theoretically5, on the other hand the only experimental report was found in a coupled nonlinear oscillator circuit6.

Keywords

Correlation Dimension Oscillatory Instability Slow Drift Average Power Spectrum Lorenz Model 
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. 1.
    Y. Pomeau and P. Manneville, “Intermittent transition to turbulence in dissipative dynamical systems”, Commun. Math. Phy. 74, 189–197, 1980.CrossRefGoogle Scholar
  2. 2.
    P. Bergé, Y. Pomeau and C. Vidal, “L’ordre dans le chaos”, Hermann, Paris, 1984.Google Scholar
  3. 3.
    M. Dubois, M. A. Rubio and P. Bergé, “Experimental evidence of intermittencies associated with a subharmonic bifurcation”, Phys. Rev. Letters 51, 1446, 1983. 983.CrossRefGoogle Scholar
  4. 4.
    M. A. Rubio, M. De La Torre and J. C. Antoranz, “Intermittencies and power-law low-frequency divergencies in a nonlinear oscillator”, Physica D 36, 92–108, 1989. 989.CrossRefGoogle Scholar
  5. 5.
    P. Richetti, F. Argoul and A. Arneodo, “Type-II intermittency in a periodically driven nonlinear oscillator”, Phys. Rev. A 34, Nb 1, 1986.CrossRefGoogle Scholar
  6. 6.
    J. Y. Huang and J. J. Kim, “Type-II intermittency in a coupled nonlinear oscillator: experimental observation”, Phys. Rev. A 36 Nb 3, 1987.Google Scholar
  7. 7.
    C. Rozé, G. Gouesbet and R. Darrigo, “New investigations of oscillatory instabilities produced by temperature-controlled hot-wire heating below an interface”, Proceedings of the International Conference on Multiphase Flows, September 24–27, 1991, Tsukuba, Japan.Google Scholar
  8. 8.
    Y. Pomeau, J. C. Roux, A. Rossi, S. Bachelart and C. Vidal, J. Phys. (Paris) Lett. 42, L241, 1981.CrossRefGoogle Scholar
  9. 9.
    A. Ben-Mizrachi, I. Procaccia, N. Rosenberg, A. Schmidt and H. G. Schuster, “Real and apparent divergencies in low-frequency spectra of nonlinear dynamical systems”, Phys. Rev. A 31, Nb 3, p 1830, 1985.CrossRefGoogle Scholar
  10. 10.
    E. Ringuet, “Computation of the correlation dimension of nine different experimental attractors coming from the hot wire experiment”, Internal Report ESP/ER/03/92/II.Google Scholar

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Eric Ringuet
    • 1
  • Claude Roze
    • 1
  • Gérard Gouesbet
    • 1
  1. 1.Laboratoire d’Energétique des systèmes et procédésURA CNRS n° 230, INSA de RouenMont Saint Aigan CedexFrance

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