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Ann. Geophys., 21, 1995-2010, 2003
www.ann-geophys.net/21/1995/2003/
© European Geosciences Union 2003
Dynamical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
M. A. Athanasiu, G. P. Pavlos, D. V. Sarafopoulos, and E. T. Sarris
Department of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, Greece
Abstract. This paper is a companion
to the first work (Pavlos et al., 2003), which contains significant results
concerning the dynamical characteristics of the magnetospheric energetic ions’
time series. The low dimensional and nonlinear deterministic characteristics of
the same time series were described in Pavlos et al. (2003). In this second
work we present significant results concerning the Lyapunov spectrum, the
mutual information and prediction models. The dynamical characteristics of the
magnetospheric ions’ signals are compared with corresponding characteristics
obtained for the stochastic Lorenz system when a coloured noise perturbation is
present. In addition, the null hypothesis is tested for the dynamical
characteristics of the magnetospheric ions’ signal by using nonlinear
surrogate data. The results of the above comparisons provide significant
evidence for the existence of low dimensional chaotic dynamics underlying the
energetic ions’ time series.
Key words. Magnetospheric physics
(energetic particles) – Radio sciences (nonlinear phenomena)
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