title: Extracting symbolic cycles from turbulent fluctuation data.
abstract: The method for extracting symbolic cycles from the fluctuation data is presented. For the example of the Lorenz model we demonstrate that approximately the same complex structure of cycles can be computed using time records of different variables. Our method has been applied to the analysis of turbulent fluctuations measured in water flow in a pipe. Even though the fluctuations in the bulk of the water and near the wall of the pipe appear to be very different, the majority of the most stable cycles extracted from the data are identical.
authors.affiliation: Institute of Nonlinear Science Applications, 14 West St., Sharon, Massachusetts 02067, USA.
authors.forename: M
authors.initials: M
authors.lastname: Lehrman
authors.forename: A B
authors.initials: AB
authors.lastname: Rechester