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Type-II intermittency characteristics in the presence of noise

Author

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  • A. A. Koronovskii
  • A. E. Hramov

Abstract

We consider a type of intermittent behavior that occurs as the result of the interplay between dynamical mechanisms giving rise to type-II intermittency and random dynamics. We analytically deduce the law for the distribution of the laminar phases, which has never been obtained hitherto. The already known dependence of the mean length of the laminar phases on the criticality parameter [Phys. Rev. E 68, 036203 (2003)] follows as a corollary of the carried out research. We also prove that this dependence obtained earlier under the assumption of the fixed form of the reinjection probability does not depend on the relaminarization properties, and, correspondingly, the obtained expression of the mean length of the laminar phases on the criticality parameter remains correct for different types of the reinjection probability. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Suggested Citation

  • A. A. Koronovskii & A. E. Hramov, 2008. "Type-II intermittency characteristics in the presence of noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(4), pages 447-452, April.
  • Handle: RePEc:spr:eurphb:v:62:y:2008:i:4:p:447-452
    DOI: 10.1140/epjb/e2008-00185-x
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    Citations

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    Cited by:

    1. Moskalenko, Olga I. & Koronovskii, Alexey A. & Zhuravlev, Maksim O. & Hramov, Alexander E., 2018. "Characteristics of noise-induced intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 269-275.
    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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