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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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NPG | Articles | Volume 26, issue 4
Nonlin. Processes Geophys., 26, 429–443, 2019
https://doi.org/10.5194/npg-26-429-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
Nonlin. Processes Geophys., 26, 429–443, 2019
https://doi.org/10.5194/npg-26-429-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.

Research article 22 Nov 2019

Research article | 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, Chaos, Phase Transitions, Complex Systems | Topic: Ionosphere, Magnetosphere, Planetary Science, Solar Science
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The transient variation in the complexes of the low-latitude ionosphere within the equatorial ionization anomaly region of Nigeria
A. B. Rabiu, B. O. Ogunsua, I. A. Fuwape, and J. A. Laoye
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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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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.
A methodology is developed to simplify the mathematical description of activity in a...
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