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

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Borovsky , J E & Osmane , A 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 ' , Nonlinear processes in geophysics , vol. 26 , no. 4 , pp. 429-443 . https://doi.org/10.5194/npg-26-429-2019

Title: 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
Author: Borovsky, Joseph E.; Osmane, Adnane
Contributor: University of Helsinki, Department of Physics
Date: 2019-11-22
Language: eng
Number of pages: 15
Belongs to series: Nonlinear processes in geophysics
ISSN: 1023-5809
URI: http://hdl.handle.net/10138/308420
Abstract: Using the solar-wind-driven magnetosphere-ionosphere-thermosphere system, a methodology is developed to reduce a state-vector description of a time-dependent driven system to a composite scalar picture of the activity in the system. The technique uses canonical correlation analysis to reduce the time-dependent system and driver state vectors to time-dependent system and driver scalars, with the scalars describing 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 methodology identifies independent modes of reaction of a system to its driver. The analysis of the magnetospheric system is demonstrated. Using autocorrelation analysis, Jensen- Shannon complexity analysis, and permutation-entropy analysis the properties of the derived aggregate scalars are assessed and a new mode of reaction of the magnetosphere to the solar wind is found. This state-vector-reduction technique may be useful for other multivariable systems driven by multiple inputs.
Subject: INTERPLANETARY MAGNETIC-FIELD
CANONICAL CORRELATION-ANALYSIS
BRIEF-HISTORY
PLASMA SHEET
PHYSICS
IONOSPHERE
PREDICTION
TURBULENCE
SCIENCE
STORMS
115 Astronomy, Space science
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