Reinjection probability density in type-III intermittency

Sergio Elaskar, Ezequiel del Rio and Jose M. Donoso

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 15, 2759-2768

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.

Keywords: Intermittency; Chaos; One dimensional map (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:15:p:2759-2768

DOI: 10.1016/j.physa.2011.03.016

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