Vortex dynamics in evolutive flows: a weakly chaotic phenomenon

Abstract

We study the vortex dynamics in an evolutive flow. We carry out the statistical analysis of the resulting time series by means of the joint use of a compression and an entropy diffusion method. This approach to complexity makes it possible for us to establish that the time series emerging from the wavelet analysis of the vortex dynamics is a weakly chaotic process driven by a hidden dynamic process. The complexity of the hidden driving process is shown to be located at the border between the stationary and non-stationary state.

arXiv comment23 pages, latex source,7 figures

References in corpus (7)

• Power-Law Time Distribution of Large Earthquakes
• The Thermodynamics of Social Processes: The Teen Birth Phenomenon
• A Dynamic Approach to the Thermodynamics of Superdiffusion
• Diffusion entropy and waiting time statistics of hard x-ray solar flares
• Compression and diffusion: a joint approach to detect complexity
• Sporadic randomness, Maxwell's Demon and the Poincare' recurrence times
• Non-extensive thermodynamics and stationary processes of localization

Cited by in corpus (5)

• Diffusion entropy analysis on the scaling behavior of financial markets
• Diffusion entropy analysis on the stride interval fluctuation of human gait
• Diffusion Entropy Approach to Dynamical Characteristics of a Hodgkin-Huxley Neuron
• Quantitative universality for a class of weakly chaotic systems
• Exact invariant measures: How the strength of measure settles the intensity of chaos