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Reinjection probability density in type-III intermittency

Author

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  • Elaskar, Sergio
  • del Rio, Ezequiel
  • Donoso, Jose M.

Abstract

A method to obtain the reinjection probability density (RPD) for systems showing type-III intermittency phenomenon is presented. The method emerges as a natural extension of a recent procedure we established to derive the RPD for type-II intermittency. A new two-parameter class of reinjection probability densities is presented to describe a broad class of type-III intermittency maps. Our RPD expression also provides information about the lower bound of the reinjection (LBR). The new characteristic relation εβ depends on the LBR and it has a critical exponent β such that −1<β<−0.5. The corresponding analytical duration probability densities are also derived in agreement with the numerical computation. The main classical results can be extracted from our RPD as particular cases.

Suggested Citation

  • Elaskar, Sergio & del Rio, Ezequiel & Donoso, Jose M., 2011. "Reinjection probability density in type-III intermittency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(15), pages 2759-2768.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:15:p:2759-2768
    DOI: 10.1016/j.physa.2011.03.016
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    References listed on IDEAS

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    1. A. Chian, 2007. "Complex Systems Approach to Economic Dynamics," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-39753-3, December.
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    Cited by:

    1. Shaw, Pankaj Kumar & Chaubey, Neeraj & Mukherjee, S. & Janaki, M.S. & Iyengar, A.N. Sekar, 2019. "A continuous transition from chaotic bursting to chaotic spiking in a glow discharge plasma and its associated long range correlation to anti correlation behaviour," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 126-134.
    2. Krause, Gustavo & Elaskar, Sergio & del Río, Ezequiel, 2014. "Noise effect on statistical properties of type-I intermittency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 318-329.

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