The European Physical Journal B

, Volume 62, Issue 4, pp 447–452 | Cite as

Type-II intermittency characteristics in the presence of noise

Solids and Liquids

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.

PACS.

05.45.-a Nonlinear dynamics and chaos 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion 

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Authors and Affiliations

  1. 1.Faculty of Nonlinear Processes, Saratov State University - AstrakhanskayaSaratovRussia

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