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Titel |
Gottwald Melborune (0–1) test for chaos in a plasma |
VerfasserIn |
D. R. Chowdhury, A. N. S. Iyengar, S. Lahiri |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 19, no. 1 ; Nr. 19, no. 1 (2012-01-10), S.53-56 |
Datensatznummer |
250014164
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Publikation (Nr.) |
copernicus.org/npg-19-53-2012.pdf |
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Zusammenfassung |
Plasma is a highly complex system exhibiting a rich variety of nonlinear
dynamical phenomena.
In the last two decades or so there has been a spurt of growth in exploring
unconventional nonlinear dynamical methods of analysis, like chaos theory,
multi fractal analysis, self organized criticality etc. of experimental data
from different plasma systems. Investigation of fluctuating plasma parameters
is very important since they are correlated with transport of particles,
and energy. In time series analysis, it is considered of key importance
to determine whether the data measured from the system is regular,
deterministically chaotic, or random. The two important parameters that
are in general estimated are the correlation dimension and the Lyapunov
exponent. Though correlation dimension helps in determining the complexity
of a system, Lyapunov exponent reveals if the system is chaotic or not
and also helps in prediction to some extent. In spite of its extensive
usage, estimation of Lyapunov exponent can be quite tedious and sometimes
suffers from some disadvantages like reliability in the presence of noise,
requirement of phase space reconstruction etc., and hence it is necessary
to explore other possibilities of estimating the chaoticity of a data. In this
paper we have analysed for chaoticity, the nonlinear floating potential fluctuations
from a glow discharge plasma system by the 0–1 test and compared it with the results obtained from Lyapunov exponent. |
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