Markov and non-Markov processes in complex systems by the dynamical information entropy

We consider the Markov and non-Markov processes in complex systems by the d ynamical information Shannon entropy (DISE) method. The influence sand impo rtant role of the two mutually dependent channels of entropy alternation (c reation or generation of correlation) and anti-correlation (destroying or a nnihilation of correlation) have been discussed. The developed method has b een used for the analysis of the complex systems of various natures: slow n eutron scattering in liquid cesium, psychology (short-time numeral and patt ern human memory and effect of stress on the dynamical taping-test), random dynamics of RR-intervals in human ECG (problem of diagnosis of various dis ease of the human cardio-vascular systems:), chaotic dynamics of the parame ters of financial markets and ecological systems. (C) 1999 Elsevier Science B.V. All rights reserved.