Estudio de la variación de la dinámica atmosférica con la altura usando la teoría del caos

Abstract

The aim of this work was to analyse the influence of height on atmospheric dynamics using Chaos Theory, for which the Kolmogorov Sianai entropy and Lyapunov exponents were determined. It was determined that wind speed is one of the modifiers of atmospheric dynamics, which measures the horizontal component of air displacement at a given point and instant of time. The data used for this process were obtained from the meteorological stations of the ESPOCH, belonging to the Alternative Energies and Environment Group (GEAA), Urbina, Multitud and Cumandá, located at different heights with respect to sea level. The calculation of the delay time parameters, lag dimension and Lyapunov exponents, which help to determine the dynamics of the system, was carried out. As a result, it was found that the data provided by the Multitud station generated a positive Lyapunov coefficient much higher than that of the other stations, with the Cumandá station having the lowest values. In addition, it was determined that the Kolmogórov Sinai entropy tends to vary with height in the four stations analysed, however, it can be concluded that it is not possible to show a growth pattern that is directly affected by the height at which the system is located, as it depends on the physical conditions of the areas under study and the average velocity. Given this result, it is recommended to take data at shorter time intervals, in order to obtain results with the lowest possible error.