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Revista mexicana de física

Print version ISSN 0035-001X

Abstract

LUCIO, J. H  and  CABALLERO, C. ¿Aleatoriedad o determinismo no lineal?: Análisis de series temporales de contaminantes atmosféricos urbanos. Rev. mex. fis. [online]. 2006, vol.52, suppl.3, pp.51-54. ISSN 0035-001X.

Classical analysis of time series has been founded mainly on a linear stochastic approach (the main structure of a series was supposed to be the linear autocorrelation in several lags). In latter years chaotic systems have acquired importance: a complex signal can sometimes be explained by some deterministic, usually nonlinear, equations. This kind of systems is found in many areas of Physics and Engineering, also in atmospheric pollution. In this paper we analyze series of the three main gases involved in photochemical pollution: NO, NO2 and O3. Our aim is to clarify if the main structure of these series is stochastic and linear or deterministic and nonlinear. For this purpose we try to build an embedding space equivalent to the phase space of the hypothetic deterministic system from which the series are measured. In the three series we have found that a low-dimensional deterministic structure exists, but the stochastic component is stronger.

Keywords : Nonlinear time series; chaos; time series; tropospheric ozone.

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