Articles | Volume 26, issue 4
https://doi.org/10.5194/npg-26-429-2019
https://doi.org/10.5194/npg-26-429-2019
Research article
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22 Nov 2019
Research article | Highlight paper |  | 22 Nov 2019

Compacting the description of a time-dependent multivariable system and its multivariable driver by reducing the state vectors to aggregate scalars: the Earth's solar-wind-driven magnetosphere

Joseph E. Borovsky and Adnane Osmane

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Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Ionosphere, magnetosphere, planetary science, solar science
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Cited articles

Bandt, C. and Pompe, B.: Permutation Entropy: A Natural Complexity measure for time series, Phys. Rev. Lett., 88, 174102, https://doi.org/10.1103/PhysRevLett.88.174102, 2002. 
Berthelier, A.: Influence of the polarity of the interplanetary magnetic field on the annual and the diurnal variations of magnetic activity, J. Geophys. Res., 81, 4546–4552, 1976. 
Birn, J., Hesse, M., and Schindler, K.: Modeling of the magnetospheric response to the dynamic solar wind, Space Sci. Rev., 124, 103–116, 2006. 
Bock, R. D. and Petersen, A C.: A multivariate correction for attenuation, Biometrika 62, 673–678, 1975. 
Borovsky, J. E.: Physics based solar-wind driver functions for the magnetosphere: Combining the reconnection-coupled MHD generator with the viscous interaction, J. Geophys. Res., 118, 7119–7150, 2013. 
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Short summary
A methodology is developed to simplify the mathematical description of activity in a time-dependent driven system. The method describes the response in the system that is most-closely related to the driver. This reduced description has advantages: low noise, high prediction efficiency, linearity in the described system response to the driver, and compactness. The analysis of the Earth’s magnetospheric system is demonstrated.