Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7155459 | Communications in Nonlinear Science and Numerical Simulation | 2015 | 12 Pages |
Abstract
The diurnal variations observed in the ozone column at Ny-Ã
lesund, Svalbard during different periods of 2009, 2010 and 2011 have been examined to test the hypothesis that they could be a result of a chaotic process. It was found that each of the attractors, reconstructed by applying the time delay technique and corresponding to any of the three time series can be embedded by 6-dimensional space. Recurrence plots, depicted to characterise the attractor features revealed structures typical for a chaotic system. In addition, the two positive Lyapunov exponents found for the three attractors, the fractal Hausdorff dimension presented by the Kaplan-Yorke estimator and the feasibility to predict the short-term ozone column variations within 10-20Â h, knowing the past behaviour make the assumption about their chaotic character more realistic. The similarities of the estimated parameters in all three cases allow us to hypothesise that the three time series under study likely present one-dimensional projections of the same chaotic system taken at different time intervals.
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Authors
Boyan H. Petkov, Vito Vitale, Mauro Mazzola, Christian Lanconelli, Angelo Lupi,