2003, Vol.6, No.3, pp.791-799

The full set of dynamic parameters and kinetic functions ( TCF, short MF's, statistical spectra of non-Markovity parameter and statistical spectra of non-stationarity parameter) presented in previous paper has made it possible to acquire the in-depth information about discreteness, non-Markov effects, long-range memory and non-stationarity of the underlying processes. The developed theory is applied to analyze the long-time (Holter) series of RR intervals of human ECG's and seismograms of different states of the Earth crust. In both systems we observed effects of fractality, standard and restricted self-organized criticality and also a certain specific arrangement of spectral lines. The received results demonstrate that the power spectra of all orders (n=1,2...) MF exhibit the neatly expressed fractal features. We have found out that the full sets of non-Markov, discrete and non-stationary parameters can serve as reliable and powerful means of diagnostics of the cardio - vascular system states and can be used to distinct healthy data from pathologic data . Also our research demonstrates that discrete non-Markov stochastic processes and long- range memory effects play a crucial role in the behavior of seismic systems. The approaches, permitting to obtain an algorithm of strong EQ's forecasting and to differentiate TE's from weak EQ's, have been developed.
Key words: non-stationary procrsses, non-Markov discrete processes, finite- discrete kinetic equations, memory functions

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