Number of Patterns in Lempel-Ziv Algorithm Applied to Iterative Maps and Measured Time Series
Gordan Mimić, Ilija D. Arsenić, Dragutin T. Mihailović · ScholarsArchive (Brigham Young University) · 2016
Some tests with information measure based on Kolmogorov complexity, using Lempel-Ziv algorithm, were performed. Information measure, which indicates randomness, was applied on the modeled and measured time series. The logistic map iterations were used as the modeled time series and the measurements of velocity data from the turbulent flow collected in a laboratory channel, were used as the measured one. The complexity counter, indicating the number of distinct patterns in the time series, was computed. An analysis has shown that the number of patterns in the measured time series is increasing with the time series length, but having a saturation value in the modeled time series. Presented results indicate on rather more complex dynamic of the velocity of turbulent flow time series than in the deterministically created chaotic time series.