Physical Interpretations of Permutation Entropy Scaling Analyses in Turbulent Fluids

We show that the methods permutation entropy and complexity analysis can be extended to a more robust tool by treating embedding delay as a freely varying parameter. We show that one can extract meaningful information about the nature turbulent systems when this extended analysis is applied to data taken from such systems. Furthermore, we find that this information agrees with information determined via conventional methodology, as well as providing new understanding about the systems analyzed