Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon

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In this article, the authors make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics.

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10 p.

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Bellazzini, Jacopo; Menconi, Giulia; Ignaccolo, Massimiliano; Buresti, Guido & Grigolini, Paolo 2003.

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In this article, the authors make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics.

Physical Description

10 p.

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Copyright 2003 American Physical Society. The following article appeared in Physical Review E, 68:2; http://pre.aps.org/abstract/PRE/v68/i2/e026126

Abstract: We make use of a wavelet method to extract, from experimental velocity signals obtained in an evolutive flow, the dominating velocity components generated by vortex dynamics. We characterize the resulting time series complexity by means of a joint use of data compression and of an entropy diffusion method. We assess that the time series emerging from the wavelet analysis of the vortex dynamics is a weakly chaotic process with a vanishing Kolmogorov-Sinai entropy and a power-law growth of the information content. To reproduce the Fourier spectrum of the experimental signal, we adopt a harmonic dependence on time with a fluctuating frequency, ruled by an inverse power-law distribution of random events. The complexity of these fluctuations is determined by studying the corresponding artificial sequences. We reproduce satisfactorily both spectral and complex properties of the experimental signal by locating the complexity of the fluctuating process at the border between the stationary and the nonstationary states.

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  • Physical Review E, 2003, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 68
  • Issue: 2
  • Pages: 10
  • Peer Reviewed: Yes

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UNT Scholarly Works

The Scholarly Works Collection is home to materials from the University of North Texas community's research, creative, and scholarly activities and serves as UNT's Open Access Repository. It brings together articles, papers, artwork, music, research data, reports, presentations, and other scholarly and creative products representing the expertise in our university community. Access to some items in this collection may be restricted.

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  • 2003

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  • Nov. 24, 2011, 12:20 a.m.

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  • April 1, 2014, 12:03 p.m.

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Bellazzini, Jacopo; Menconi, Giulia; Ignaccolo, Massimiliano; Buresti, Guido & Grigolini, Paolo. Vortex Dynamics in Evolutive Flows: A Weakly Chaotic Phenomenon, article, 2003; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc67634/: accessed May 29, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.