The organized nonlinear dynamics of the magnetosphere

AJ Klimas, D Vassiliadis, DN Baker… - Journal of Geophysical …, 1996 - Wiley Online Library
The linear prediction filters computed by Bargatze et al.[1985] have resulted in a turning
point in the study of solar wind‐magnetosphere coupling. The evolution of the filters with …

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 …

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 …

[HTML][HTML] Complexity Heliophysics: A lived and living history of systems and complexity science in Heliophysics

RM McGranaghan - Space Science Reviews, 2024 - Springer
This review examines complexity science in the context of Heliophysics, describing it not as
a discipline, but as a paradigm. In the context of Heliophysics, complexity science is the …

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 …

Tsallis non-extensive statistics and solar wind plasma complexity

GP Pavlos, AC Iliopoulos, GN Zastenker… - Physica A: Statistical …, 2015 - Elsevier
This article presents novel results revealing non-equilibrium phase transition processes in
the solar wind plasma during a strong shock event, which took place on 26th September …

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 …

Jensen‐Shannon complexity and permutation entropy analysis of geomagnetic auroral currents

A Osmane, AP Dimmock… - Journal of Geophysical …, 2019 - Wiley Online Library
In this study we determine whether auroral westward currents can be characterized by low‐
dimensional chaotic attractors through the use of the complexity‐entropy methodology …

Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma, Part one: Sunspot dynamics

GP Pavlos, LP Karakatsanis, MN Xenakis - Physica A: Statistical Mechanics …, 2012 - Elsevier
In this study, the non-linear analysis of the sunspot index is embedded in the non-extensive
statistical theory of Tsallis (1988, 2004, 2009)[7, 9, 10]. The q-triplet of Tsallis, as well as the …