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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 1, issue 2/3
Nonlin. Processes Geophys., 1, 124–135, 1994
https://doi.org/10.5194/npg-1-124-1994
© Author(s) 1994. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: Including papers presented at the EGS Richardson - AGU Chapman...

Nonlin. Processes Geophys., 1, 124–135, 1994
https://doi.org/10.5194/npg-1-124-1994
© Author(s) 1994. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  30 Sep 1994

30 Sep 1994

Chaos and magnetospheric dynamics

G. P. Pavlos1, D. Diamandidis1, A. Adamopoulos2, A. G. Rigas1, I. A. Daglis3, and E. T. Sarris1,4 G. P. Pavlos et al.
  • 1Demokritos Univ. of Thrace, Dept. of Electr. Eng., Division of Telecommunications & Space Science, 67100 Xanthi, Greece
  • 2Demokritos Univ. of Thrace, Dept. of Medicine, Medical Physics Laboratory, 68100 Xanthi, Greece
  • 3Max-Planck-Institut für Aeronomie, 37189 Katlenburg-Lindau, Germany
  • 4National Observatory of Athens, Institute of Ionospheric and Space Research, 11810 Athens, Greece

Abstract. Our intention in this work is to show, by using two different methods, that magnetospheric dynamics reveal low dimensional chaos. In the first method we extend the chaotic analysis for the AE index time series by including singular value decomposition (SVD) analysis in combination with Theiler's test in order to discriminate dynamical chaos from self-affinity or "crinkliness". The estimated fractality of the AE index time series which is obtained belongs to a strange attractor structure with close returns in the reconstructed phase space. In the second method we extend the linear equivalent magnetospheric electric circuit to a nonlinear one, the arithmetic solution of which reveals low dimensional chaotic dynamics. Both methods strongly support the existence of low dimensional magnetospheric chaos.

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