Strange attractors in fluid dynamics
Abstract
The paper examines statistical procedures aimed at testing whether a given aperiodic time series can be modeled by a solution of a discrete dynamical system of a given order. The time series analysis is based on a quantitative formulation of the strangeattractor hypothesis. Results indicate that it is possible to estimate the variance in the random perturbation of a strange attractor. It is noted that it may be possible to apply these methods to experimental data from fluid experiments in the regime just beyond the onset of chaos in order to test the abovementioned hypothesis.
 Publication:

Dynamical System and Chaos
 Pub Date:
 1983
 DOI:
 10.1007/3540122761_10
 Bibcode:
 1983LNP...179..149G
 Keywords:

 Fluid Dynamics;
 Nonlinear Systems;
 Strange Attractors;
 Time Series Analysis;
 Transition Flow;
 Variance (Statistics);
 Chaos;
 Differential Equations;
 Equations Of Motion;
 Perturbation Theory;
 Statistical Tests;
 Fluid Mechanics and Heat Transfer