Chaos studies all that is messy, disorganized and incoherent; mathematically the chaos is a dynamic system governed by nonlinear differential equations. Chaos has an unpredictable behavior; its dynamical is very sensitive to the initial conditions. Atypical chaotic system is the atmosphere; this limits the knowledge about its behavior; but with the advance in the computers, the results that are obtained with the chaos theory improved significantly; the description of atmosphera and its results have extended to other fields of the science, as the economy, health and others. The object of this work was to determine the atmospheric dynamics in the Riobamba city using the theory of chaos, with meteorological data of the meteorological station of the ESPOCH of one year (2010) of data that were processed with model TISEAN. The results determine a hyperchaotic system, according to the coefficients of Lyapunov.
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