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Vortex dynamics in evolutive flows: a weakly chaotic phenomenon.

Jacopo Bellazzini1, Giulia Menconi, Massimiliano Ignaccolo

  • 1Dipartimento di Ingegneria Aerospaziale, Università di Pisa, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

A wavelet method reveals that vortex dynamics in evolutive flows exhibit weakly chaotic behavior. This complexity, characterized by entropy diffusion, is key to reproducing experimental signal properties.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Signal processing

Background:

  • Experimental velocity signals from evolutive flows contain complex dynamics.
  • Vortex dynamics significantly influence fluid flow characteristics.
  • Characterizing time series complexity is crucial for understanding underlying processes.

Purpose of the Study:

  • To extract dominant velocity components from experimental signals using a wavelet method.
  • To characterize the complexity of time series generated by vortex dynamics.
  • To reproduce spectral and complex properties of experimental signals.

Main Methods:

  • Wavelet analysis for extracting velocity components from experimental data.
  • Data compression and entropy diffusion for time series complexity characterization.

Related Experiment Videos

  • Harmonic time dependence with fluctuating frequency to model signal properties.
  • Main Results:

    • Wavelet analysis identified time series exhibiting weakly chaotic behavior.
    • The process showed vanishing Kolmogorov-Sinai entropy and power-law information growth.
    • Reproduced experimental signal's spectral and complex properties by modeling fluctuations at the stationary-nonstationary border.

    Conclusions:

    • Vortex dynamics in evolutive flows can be characterized as a weakly chaotic process.
    • The proposed modeling approach successfully replicates experimental signal characteristics.
    • Complexity arising from fluctuating frequencies at the stationary-nonstationary border is significant.