Levels of complexity in turbulent time series for weakly and high Reynolds number

► Three methods are used to study the fluctuations in the turbulent time series. ► First, the detrended fluctuation analysis (DFA). ► Second, the detrended cross correlation analysis (DCCA). ► Third, the magnitude and sign decomposition analysis to probe long-term nonlinear features. ► We could compare levels of complexity in weakly and high turbulent flow.