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高温材料处理:国际期刊
SJR: 0.137 SNIP: 0.341 CiteScore™: 0.43

ISSN 打印: 1093-3611
ISSN 在线: 1940-4360

高温材料处理:国际期刊

DOI: 10.1615/HighTempMatProc.v2.i1.80
pages 103-115

CHARACTERIZATION OF COMPLEX DYNAMICAL REGIMES, UP TO SPATIO-TEMPORAL CHAOS, IN PLASMAS

G. Bonhomme
Laboratoire de Physique des Millieux Ionises, Universite Henri Poincare, F-54506 Vandaeuvre-les-Nancy Cedex, France
A Atipo
Laboratoire de Physique des Milieux Ionises - URPRES-A 7040 du CNRS Universite Henri Poincare - 54506 Vandoeuvre-les-Nancy - France
X. Caron
Laboratoire de Physique des Milieux Ionises - URPRES-A 7040 du CNRS Universite Henri Poincare - 54506 Vandoeuvre-les-Nancy - France
E. Gravier
Laboratoire de Physique des Milieux Ionises - URPRES-A 7040 du CNRS Universite Henri Poincare - 54506 Vandoeuvre-les-Nancy - France

ABSTRACT

Characterizing space-time fluctuations is of first importance to understand the non linear phenomena involved in unstable or turbulent fluid or plasma flows.
Along with the great development observed during the last years in non linear dynamics, new methods in data processing have been proposed.
Among these methods the biorthogonal decomposition (BD), enabling to reduce space-time data with the maximum efficiency to a finite set of separate modes is a particularly convenient tool. The eigenmodes come out from the numerical analysis and are not imposed from outside as in the Fourier decomposition.
Making a partial reconstruction from the weighted sum of spatial and temporal eigenfunctions obtained gives a mean to separate coherent structures from background stochastic fluctuations.
After a short description of the BD we present two illustrative examples. Both of them are devoted to the characterization of transitions from regular to spatio-temporal chaos or turbulence in laboratory plasmas.