Fractal Dimension of Experimental Time Series in Modified Taylor-Couette Flow and Non-Linear Electronic Circuits

Fractal Dimensions of experimental time series are calculated in terms of Correlation Dimension and Kaplan-Yorke Dimension. Numerical techniques were tested on data from a chaotic non- linear electronic circuit. Long time series were obtained from experiments in a modified Taylor-Couette fluid flow apparatus in both laminar and turbulent flow regimes. The irregular generation of Taylor Vortex Pairs in laminar Taylor-Couette flow with hourglass geometry has previously demonstrated low dimensional chaos.\footnote{ T. Olsen, R. Bjorge, \& R. Wiener, Bull. Am. Phys. Soc. \textbf{47-10}, 76 (2002).} The turbulent flow regime is demonstrated to have a higher, yet finite, dimension.