which is the original indicator of chaoticity and
regularity reveal a complicated competition of noise and separate
modes of the Sun mobility.
Key words: solar activity, chaoticity, random processes, discreteness, non-Markovity
2004, Vol.7, No.3, pp.210-226
The dynamics of stochastic processes in real complex
systems is very complicated and entangled. At the examination of
various dynamic states of similar systems one of the central
points is consisted in finding a quantitative measure of
chaoticity and regularity in its evolution. In this work we
represent the results of the study of solar activity from the
point of view of complexity, discreteness, non-stationarity and
non-Markovity of dynamic evolution of atmosphere of the Sun. The
study was carried out by using of means of the statistical theory
of discrete non-Markov stochastic processes
[1]-[3]. The statistical non-Markov effects in
time series of solar activity are considered thoroughly. For
realization of correlation analysis as an initial time series we
use a time series of Wolf number (one of solar indexes). In this
work the effects of regularity and chaoticity connected with
dynamics of various cycles of solar activity come to light. For
the finding of local time dependence the kinetic and relaxation
parameters and obtaining of the additional information about
physical nature of the phenomena going on the Sun we offers local
averaging operation. In this paper the comparative analysis of the
various parameters connected with minima and maxima of solar
activity has been implemented. Specific features in behavior of
phase clouds at a minimum of solar activity are characterized by
the occurrence of obtuse angles and symbolical "Dinara's Crosses"
in distribution of phase points. The phase points at a maximum of
solar activity form a nucleus in the form of the oval curve. The
dynamics of solar spots is connected to specific alternation of
the effects of chaoticity and robustness. The peculiarities of the
frequency dependence of non-Markovity parameter
which is the original indicator of chaoticity and
regularity reveal a complicated competition of noise and separate
modes of the Sun mobility.
Key words:
solar activity, chaoticity, random processes,
discreteness, non-Markovity
Full text:
Acrobat PDF (7946KB)
PostScript (4295KB)
PostScript.gz (969KB)
Copyright © Nonlinear Phenomena in Complex Systems. Last updated: November 8, 2004