Systems and Means of Informatics
2014, Volume 24, Issue 1, pp 116-127
INFORMATION TECHNOLOGY TO RESEARCH THE FINE
STRUCTURE OF CHAOTIC PROCESSES IN PLASMA BY THE ANALYSIS OF SPECTRA
Abstract
The paper deals with the information technology created for investiga-
tion of specific structures, forming turbulence in plasma, with the help of spectral
analysis. The mathematical basis is the probabilistic approach using a novel boot-
strap algorithm. The finite mixtures of various probability distributions are used
as a basic model to describe the fine structure of chaotic processes. To find the
statistical estimates of the unknown parameters of the model, specially created
statistical procedures, improving the properties of the classical EM(expectation-
maximization) algorithm, are included in the software. Considerable attention is
devoted to the structure and general principles of software functioning. Practical
results obtained in an important area of modern physics are discussed as well
(e. g., identification of the number of forming processes, evaluation of several
physical parameters, etc.). The vivid examples of performance of the created
software are given.
[+] References (10)
- Gorshenin, A.K., V.Yu. Korolev, D.V. Malakhov, and N. N. Skvortsova. 2011.
Analiz tonkoy stokhasticheskoy struktury khaoticheskikh protsessov s pomoshch'yu
yadernykh otsenok [Analysis of fine stochastic structure of chaotic processes by kernel
estimators]. Matematicheskoe Modelirovanie 23(4):83-89.
- Gorshenin, A.K., V.Yu. Korolev, D.V. Malakhov, and N. N. Skvortsova. 2012. Ob
issledovanii plazmennoy turbulentnosti na osnove analiza spektrov [On the investigation
of plasma turbulence by the analysis of the spectra]. Komp'yuternye issledovaniya i
modelirovanie [Computer Research and Modeling] 4(4):793-802.
- Pshenichnikov, A.A., L.V. Kolik, N. I. Malykh, et al. 2005. The use of Doppler
reflectometry in the L-2M stellarator. Plasma Phys. Rep. 31(7):554-561.
- Korolev,V.Yu. 2011. Veroyatnostno-statisticheskie metody dekompozitsii volatil'nosti
khaoticheskikh protsessov [Probabilistic and statistical methods of decomposition of
volatility of chaotic processes]. Moscow: Moscow State University Publishing House.
512 p.
- Dempster, A., N. Laird, and D. Rubin. 1977. Maximum likelihood estimation from
incompleted data J. Roy. Stat. Soc. B 39(1):1-38.
- Gorshenin, A., V. Korolev, V. Kuzmin, and A. Zeifman. 2013. Coordinate-wise
versions of the grid method for the analysis of intensities of non-stationary information flows by moving separation of mixtures of gamma-distribution. 27th Conference
(European) on Modelling and Simulation Proceedings.Dudweiler,Germany. 565-568.
- Bening, V.E., A.K. Gorshenin, and V.Yu. Korolev. 2011. Asimptoticheski optimal'nyy kriteriy proverki gipotez o chisle komponent smesi veroyatnostnykh raspredeleniy [An asymptotically optimal test for the number of components of a mixture of
probability distributions]. Informatika i ee Primeneniya|Inform. Appl. 5(3):4-16.
- Lo, Y., N.R. Mendell, and D.B. Rubin. 2001. Testing the number of components in
a normal mixture. Biometrika 88(3):767-778.
- Korolev, V.Yu., A.V. Chertok, A.Yu. Korchagin, and A.K. Gorshenin. 2013.
Veroyatnostno-statisticheskoemodelirovanie informatsionnykh potokov v slozhnykh finansovykh sistemakh na osnove vysokochastotnykh dannykh [Probability and statistical
modeling of information flows in complex financial systems based on high-frequency
data]. Informatika i ee Primeneniya| Inform. Appl. 7(1):12-21.
- Gorshenin, A.K., V.Yu. Korolev, A. I. Zeifman, S.Ya. Shorgin, A.V. Chertok,
A. I. Evstafyev, and A.Yu. Korchagin. 2013. Modelling stock order flows with nonhomogeneous intensities from high-frequency data. AIP Conference Proceedings 1558:
2394-2397.
[+] About this article
Title
INFORMATION TECHNOLOGY TO RESEARCH THE FINE
STRUCTURE OF CHAOTIC PROCESSES IN PLASMA BY THE ANALYSIS OF SPECTRA
Journal
Systems and Means of Informatics
Volume 24, Issue 1, pp 116-127
Cover Date
2013-11-30
DOI
10.14357/08696527140107
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
spectrum; information technology; turbulent plasma; bootstrap;
probabilistic models
Authors
A.K. Gorshenin  , 
Author Affiliations
Institute of Informatics Problems, Russian Academy of Sciences, 44-2 Vavilov
Str., Moscow 119333, Russian Federation
Moscow Institute of Radio, Electronics, and Automation (MIREA), 78 Vernadskogo Ave., Moscow 119454, Russian Federation
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