Open AccessTime domain analysis of plasma turbulence observed upstream of a quasi‐parallel shock
Author(s) -
Coca D.,
Balikhin M. A.,
Billings S. A.,
Alleyne H. S. C. K.,
Dunlop M.
Publication year - 2001
Publication title -
journal of geophysical research: space physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2000ja000431
Subject(s) - physics , turbulence , nonlinear system , computational physics , frequency domain , amplitude , shock wave , magnetosphere , wave turbulence , plasma , mechanics , optics , mathematical analysis , mathematics , quantum mechanics
This paper presents, for the first time, an analysis of space plasma turbulence based on the NARMAX system identification approach. Fundamental nonlinear processes in the low‐frequency turbulence observed in the terrestrial foreshock by Active Magnetospheric Particle Tracer Explorers United Kingdom Satellite (AMPTE UKS) and Ion Release Module (AMPTE IRM) are studied using time domain identification methods developed for nonlinear dynamical systems. It is shown, directly from the experimental data, that the cubic nonlinearity has a significant influence on the steepening of the nonlinear low‐frequency waves and on the dependence of the phase velocity upon the wave amplitude. In comparison with a previous frequency domain approach, the present method requires only short data sets.