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Ann. Geophys., 21, 1975-1993, 2003
www.ann-geophys.net/21/1975/2003/
© European Geosciences Union 2003
Geometrical characteristics of magnetospheric energetic ion time series: evidence for low dimensional chaos
G. P. Pavlos, M. A. Athanasiu, A. G. Rigas, D. V. Sarafopoulos, and E. T. Sarris
Department of Electrical and Computer Engineering, Demokritos Univercity of Thrace, 67100 Xanthi, Greece
Abstract. In the first part of the
paper we study the geometrical characteristics of the magnetospheric ions’
time series in the reconstructed phase space by using the SVD extended chaotic
analysis, and we test the strong null hypothesis supposing that the ions’
time series is caused by a linear stochastic process perturbed by a static
nonlinear distortion. The SVD reconstructed spectrum of the ions’ signal
reveals a strong component of high dimensional, external coloured noise, as
well as an internal low dimensional nonlinear deterministic component. Also,
the stochastic Lorenz system produced by coloured noise perturbation of the
deterministic Lorenz system was used as an archetype model in comparison with
the dynamics of the magnetrospheric ions.
Key words. Magnetospheric physics
(energetic particles) – Radio science (nonlinear phenomena)
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