Search for Low-Dimensional Chaos in Observational Data
arXiv:chao-dyn/9707012
Abstract
We introduce the reader to the "global flow reconstruction method". The purpose of the method is to see if a given temporal sequence has been generated by a low dimensional dynamics, and to determine that dimension and other properties of the dynamics. The method is shown to work very well on the well known Roessler system. An application of the method to the observational data of the light curve of the irregular variable star R Scuti is presented. This light curve is shown to have been generated by a 4 dimensional dynamics. From the functional form of the flow we find that the Lyapunov dimension is close to 3.1.
"International School of Physics "Enrico Fermi", Course CXXXIII, "Past and Present Variability of the Solar-Terrestrial System; Measurement, Data Analysis and Theoretical Models", Eds. G. Cini Castagnoli and A. Provenzale (in press)