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Phase-length distributions in intermittent band switching

Author

Listed:
  • Post, T.
  • Capel, H.W.
  • Van der Weele, J.P.

Abstract

The distribution of phase lengths t for intermittent band switching is investigated. Its form is observed to deviate from a exponential function; a minimal phase length is seen to exist and the probabilities for the first few occuring phase lengths are often strongly enhanced or suppressed. These deviations are analyzed and described explicitly in terms of the parameters of a model map.

Suggested Citation

  • Post, T. & Capel, H.W. & Van der Weele, J.P., 1989. "Phase-length distributions in intermittent band switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 321-350.
    • Handle: RePEc:eee:phsmap:v:160:y:1989:i:3:p:321-350
    DOI: 10.1016/0378-4371(89)90446-9
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    References listed on IDEAS

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    1. Van Der Weele, J.P. & Capel, H.W. & Kluiving, R., 1987. "Period doubling in maps with a maximum of order z," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 145(3), pages 425-460.
    2. Kadanoff, Leo P. & den Nijs, M.P.M., 1981. "Connections among different phase transition problems in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(1), pages 122-122.
    3. Van der Weele, J.P. & Capel, H.W. & Valkering, T.P. & Post, T., 1988. "The squeeze effect in non-integrable Hamiltonian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(3), pages 499-532.
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    Cited by:

    1. Stephenson, John, 1991. "Formulae for cycles in the Mandelbrot set," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 416-420.
    2. Post, Thijs & Capel, Hans W., 1991. "Windows in one-dimensional maps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(1), pages 62-100.

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