The Earth's magnetosphere: a systems science overview and assessment

JE Borovsky, JA Valdivia - Surveys in geophysics, 2018 - Springer
A systems science examination of the Earth's fully interconnected dynamic magnetosphere
is presented. Here the magnetospheric system (aka the magnetosphere–ionosphere …

Systems theory for geospace plasma dynamics

D Vassiliadis - Reviews of Geophysics, 2006 - Wiley Online Library
This is a tutorial review on systems theory and its applications to space plasma physics and,
more broadly, on geophysics. With its basis on the state representation of a plasma the …

Test your surrogate data before you test for nonlinearity

D Kugiumtzis - Physical Review E, 1999 - APS
The schemes for the generation of surrogate data in order to test the null hypothesis of linear
stochastic process undergoing nonlinear static transform are investigated as to their …

Scale‐free statistics of spatiotemporal auroral emissions as depicted by POLAR UVI images: Dynamic magnetosphere is an avalanching system

VM Uritsky, AJ Klimas, D Vassiliadis… - Journal of …, 2002 - Wiley Online Library
We report first results from a spatiotemporal statistical analysis of ionospheric emissions as
observed by the Ultraviolet Imager (UVI) onboard the POLAR spacecraft during 4 months of …

The influence of noise on the correlation dimension of chaotic attractors

J Argyris, I Andreadis, G Pavlos, M Athanasiou - Chaos, Solitons & Fractals, 1998 - Elsevier
The present paper investigates the influence of noise on the correlation dimension Dc of
chaotic attractors arising in discrete and continuous in time dynamical systems. Our …

The comparative study of chaoticity and dynamical complexity of the low-latitude ionosphere, over Nigeria, during quiet and disturbed days

BO Ogunsua, JA Laoye, IA Fuwape… - Nonlinear Processes in …, 2014 - npg.copernicus.org
The deterministic chaotic behavior and dynamical complexity of the space plasma
dynamical system over Nigeria are analyzed in this study and characterized. The study was …

Analysis of the fluctuations of the total electron content (TEC) measured at Goose Bay using tools of nonlinear methods

KS Kumar, CVA Kumar, B George… - Journal of …, 2004 - Wiley Online Library
In this paper we report the evidence of a low‐dimensional chaos in a set of data observed
outside laboratories. The dynamic behavior of the time series of the fluctuations of the total …

First and second order non-equilibrium phase transition and evidence for non-extensive Tsallis statistics in Earth's magnetosphere

GP Pavlos, AC Iliopoulos, VG Tsoutsouras… - Physica A: Statistical …, 2011 - Elsevier
In this paper strong evidence is provided for significant far from equilibrium phase transition
processes in the Earth's magnetosphere as revealed by the nonlinear analysis of in situ …

Tsallis statistics and magnetospheric self-organization

GP Pavlos, LP Karakatsanis, MN Xenakis… - Physica A: Statistical …, 2012 - Elsevier
In this study we use Tsallis non-extensive statistics for a new understanding the
magnetospheric dynamics and the magnetospheric self-organization during quiet and …

Exploration of a composite index to describe magnetospheric activity: Reduction of the magnetospheric state vector to a single scalar

JE Borovsky, MH Denton - Journal of Geophysical Research …, 2018 - Wiley Online Library
Geomagnetic activity is usually gauged by a single time‐dependent geomagnetic index.
One drawback is that an individual geomagnetic index measures only one aspect of the …