3 Citations (Scopus)

Abstract

Numerical and experimental investigations of intermittency in chaotic systems often lead to claims of universal classes based on the scaling of the average length of the laminar phase with parameter variation. We demonstrate that the scaling in general depends on the choice of the threshold used to define a proper laminar region in the phase space. For sufficiently large values of the threshold, the scaling exponent tends to converge but significant fluctuations can occur particularly for continuous-time systems. Insights into the dependence can be obtained using the idea of Poincaré recurrence.

Original languageEnglish (US)
Article number057202
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume80
Issue number5
DOIs
StatePublished - Nov 16 2009

Fingerprint

Intermittency
intermittency
Chaotic System
Scaling
scaling
thresholds
Continuous-time Systems
Scaling Exponent
Numerical Investigation
Experimental Investigation
Recurrence
Phase Space
Tend
Fluctuations
Converge
exponents
Demonstrate
Class

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Dependence of intermittency scaling on threshold in chaotic systems. / Xiao, Yuzhu; Wang, Yan; Lai, Ying-Cheng.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 80, No. 5, 057202, 16.11.2009.

Research output: Contribution to journalArticle

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