Numerical Schemes for the Analysis of Turbulence — A Tutorial

作者: Thierry Dudok de Wit

DOI: 10.1007/3-540-36530-3_15

关键词: Higher-order statisticsCorrelation analysisFourier analysisExploitTurbulencePlasma turbulenceNonlinear systemMathematicsCalculusAstrophysical plasmaStatistical physics

摘要: The analysis of plasma turbulence has traditionally relied on limited repertoire methods such as Fourier analysis, correlation etc. This text gives a short overview what deeper insight can be obtained by using techniques that exploit nonlinear properties the data. It covers both higher order spectra and statistics.

参考文章(79)
Benoit B. Mandelbrot, Fractals and Scaling in Finance Springer New York. ,(1997) , 10.1007/978-1-4757-2763-0
Dynamical Systems, Plasmas and Gravitation Dynamical Systems, Plasmas and Gravitation. ,vol. 518, ,(1999) , 10.1007/BFB0105906
Ronald K. Pearson, Discrete-time Dynamic Models ,(1999)
Henrik Jeldtoft Jensen, Self-Organized Criticality Cambridge University Press. ,(1998) , 10.1017/CBO9780511622717
T. Dudok de Wit, V. V. Krasnosel'skikh, Non-Gaussian statistics in space plasma turbulence: fractal properties and pitfalls Nonlinear Processes in Geophysics. ,vol. 3, pp. 262- 273 ,(1996) , 10.5194/NPG-3-262-1996
Holger Kantz, Thomas Schreiber, Nonlinear time series analysis ,(1997)
M. Balikhin, D. Coca, S.A. Billings, Time-Domain Identification of Nonlinear Processes in Space Plasma Turbulence Using Multi-Point Measurements Department of Automatic Control and Systems Engineering. ,(1999)
Didier Sornette, Critical Phenomena in Natural Sciences Springer Series in Synergetics. ,(2000) , 10.1007/978-3-662-04174-1