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Annales Geophysicae An interactive open-access journal of the European Geosciences Union
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Volume 21, issue 9
Ann. Geophys., 21, 1975–1993, 2003
https://doi.org/10.5194/angeo-21-1975-2003
© Author(s) 2003. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Complexity in the Earth's Magnetospheric Dynamics

Ann. Geophys., 21, 1975–1993, 2003
https://doi.org/10.5194/angeo-21-1975-2003
© Author(s) 2003. This work is distributed under
the Creative Commons Attribution 3.0 License.

  30 Sep 2003

30 Sep 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 G. P. Pavlos et al.
  • 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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