2004, Vol.7, No.2, pp.177-185
In majority of networks the dynamics of real processes
has a random character. The complexity of similar systems is quite
obvious. In this work we present the results of the study of real
academic process in real networks from the point of view of
complexity, discreteness, non-stationarity and non-Markovity of
their dynamic evolution. Such a method of study describes the
chaotic dynamics of complex systems of various nature. We have
carried out the analysis of statistical memory effects and
non-Markovity in the behaviour of real networks connected with
academic student activity. The studies are performed with the help
of the comparative analysis of the time data of the chaotic
dynamics of students' class attendance. The power spectra of the
initial time correlation function and memory functions of junior
orders, phase portraits of the four first dynamic variables, the
three first points of the statistical non-Markov parameter are
used for quantitative description of regular and stochastic
components of the chaotic dynamics of academic student activity
with account discreteness of time and effects of statistical
memory. Such standard set of qualitative and quantitative
parameters of our theory allows to reveal quantitative measure of
randomness of real process of academic student activity and its
influence on the quality of their academic standing.
Key words:
random processes, academic student activity, students'
class attendance, discretness, non-Markovity
Full text:
Acrobat PDF (1149KB)
PostScript (1023KB)
PostScript.gz (277KB)
Copyright © Nonlinear Phenomena in Complex Systems. Last updated: June 29, 2004