[HTML][HTML] 25 years of self-organized criticality: solar and astrophysics

MJ Aschwanden, NB Crosby, M Dimitropoulou… - Space Science …, 2016 - Springer
Shortly after the seminal paper “Self-Organized Criticality: An explanation of 1/f noise” by
Bak et al.(1987), the idea has been applied to solar physics, in “Avalanches and the …

Self-organized criticality, multi-fractal spectra, sporadic localized reconnections and intermittent turbulence in the magnetotail

T Chang - Physics of Plasmas, 1999 - pubs.aip.org
It has been suggested that the dynamics of the Earth's magnetotail may be described by the
stochastic behavior of a nonlinear dynamical system near forced and/or self-organized …

Neutral line model of substorms: Past results and present view

DN Baker, TI Pulkkinen, V Angelopoulos… - Journal of …, 1996 - Wiley Online Library
The near‐Earth neutral line (NENL) model of magnetospheric substorms is reviewed. The
observed phenomenology of substorms is discussed including the role of coupling with the …

[图书][B] Chaos: from theory to applications

AA Tsonis - 2012 - books.google.com
Based on chaos theory two very important points are clear:(I) random looking aperiodic
behavior may be the product of determinism, and (2) nonlinear problems should be treated …

Estimating correlation dimension from a chaotic time series: when does plateau onset occur?

M Ding, C Grebogi, E Ott, T Sauer, JA Yorke - Physica D: Nonlinear …, 1993 - Elsevier
Suppose that a dynamical system has a chaotic attractor A with a correlation dimension D 2.
A common technique to probe the system is by measuring a single scalar function of the …

Plateau onset for correlation dimension: When does it occur?

M Ding, C Grebogi, E Ott, T Sauer, JA Yorke - Physical Review Letters, 1993 - APS
Chaotic experimental systems are often investigated using delay coordinates. Estimated
values of the correlation dimension in delay coordinate space typically increase with the …

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 …

Low-dimensional behavior and symmetry breaking of stochastic systems near criticality-can these effects be observed in space and in the laboratory?

T Chang - IEEE Transactions on Plasma Science, 1992 - ieeexplore.ieee.org
It is demonstrated that nonlinear stochastic systems near criticality (including self-organized
criticality) will generally exhibit low-dimensional behavior. A connection is given between …

Predicting chaotic time series using neural and neurofuzzy models: a comparative study

A Gholipour, BN Araabi, C Lucas - neural processing letters, 2006 - Springer
The prediction accuracy and generalization ability of neural/neurofuzzy models for chaotic
time series prediction highly depends on employed network model as well as learning …

Evidence for intermittency in Earth's plasma sheet and implications for self-organized criticality

V Angelopoulos, T Mukai, S Kokubun - Physics of Plasmas, 1999 - pubs.aip.org
Magnetospheric substorms represent the primary mode of energy circulation and topological
reconfiguration of the plasma environment in the Earth's vicinity. They occur when there is …