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Paula Agudelo

Turbulence, Intermittency and Chaos in High-Resolution Data, Collected At The Amazon Forest. Paula Agudelo. DATA. Data at 21m and 66m. 60m tower built in the Rebio Jaru reserve in (10º04'S 61º56'W), Brazilian state of Rondonia.

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Paula Agudelo

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  1. Turbulence, Intermittency and Chaos in High-Resolution Data, Collected At The Amazon Forest. Paula Agudelo

  2. DATA Data at 21m and 66m 60m tower built in the Rebio Jaru reserve in (10º04'S 61º56'W), Brazilian state of Rondonia. The data used consists of the wind velocity components along the three orthogonal directions and the temperature, all obtained using fast response sonic instruments. frequency of 60 Hz. (60 Samples/second) (9min) Data were collected as part of a LBA project (The Large Scale Biosphere-Atmosphere Experiment in the Amazon)

  3. SERIES 12pm 6pm 6th 7th U V W T 12am March/1999 9pm 3pm

  4. Histograms

  5. Examples

  6. Examples

  7. Profiles

  8. Fourier Vs Wavelets Fourier transform Decompose a time series in sines and cosines of different frequencies. Since sines and cosines are infinite functions, It only gives information of frequency Wavelet transform Decompose a time series in different functions The wavelet function goes to zero, giving information of frequency and localization in time

  9. Kolmogorov law of -5/3 (n=2) 7 March, 12pm at 66m

  10. Kolmogorov law of 5/3 8 March, 12pm at 66m

  11. Removing intermittency WT:Wavelet Coefficients (Result of the transform) Sum over all WT = Series Variance Spectral density function Km=Wave Number Standard deviation Coefficient of energy variation Structure Function Flatness Factor (Similar to Kurtosis)

  12. Results

  13. Results

  14. Chaotic Behavior Phase Space reconstruction how to go from scalar observations to multivariate phase space to apply the embedding theorem to say that what time lag (time delay) to use and what dimension to use are the central issues of this reconstruction. Average Mutual Information Embedding dimension dE. Global False Nearest Neighbors

  15. Mutual Information 7 March, 12pm at 21m 7 March, 12pm at 66m

  16. Embedding dimension

  17. Lorenz Attractor

  18. U Component 12am

  19. U Component 12pm

  20. T Component 5pm

  21. T Component 5pm

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