Sentence examples for the complex fluctuations from inspiring English sources

She was awarded the Achievement in Asia Award from the Overseas Chinese Physics Association in 1999 "for contributions to the understanding of the complex fluctuations in fluid turbulence".

R.M. May's theoretical work in 1974 showed that simple deterministic rules may explain the complex fluctuations observed in population time series, with a broad spectrum of dynamics, from erratic, to periodic, to chaotic [9], [10].

Beginning in the 1980s and accelerating since about 2000, satellite surveillance with increasingly sophisticated instruments has enabled us to better visualize the complex fluctuations of several important pollutants as they ebb and flow around the planet.

It was shown that these complex fluctuations can be very well described by relatively robust mathematical means [ 371].

These variations can occur in different forms, as early wearing off during the initial stage of motor complications, dyskinesias in the intermediate stage, and complex fluctuations in the advanced stage.

Real prices of tomato in the U.S. show complex fluctuations in time and are very complicated to predict with traditional statistical approaches.

We use the Multifractal Detrended Fluctuation Analysis (MF-DFA) to study the complex water fluctuations of some of the principal Brazilian rivers.

Defective rotating machinery generally produces complex fluctuations due to non-stationary and nonlinear properties of dynamical systems.

Groundwater level time series usually exhibit complex fluctuations due to interactions of many factors, and therefore we need mathematical methods to decompose the complex series and study their variations.

Moreover, measurements of weather variables often show complex fluctuations over time, thus their associations with headache are difficult to analyze with conventional methods due to presence of multiple intrinsic components and collinearity among weather variables.

As a result, consecutive weather time series often show complex fluctuations over time, and their association with headache incidence is difficult to analyze by conventional methods.