Clustering local laws of the dynamics of complex living systems

Abstract

In this paper, we generalize the studies of the local laws clustering for dynamics of non-Hamiltonian live systems. We analyze the human heart-rate variability. We use the localization procedure to extract the local properties about the space-time structure of the R–R interval time series. The window-time behavior of the memory functions power spectra reflects the periodic properties in studied dynamics. The age-related alterations in heart-rate variability for young and old testees are manifested in velocity of relaxation. They may be derived by localizing the kinetic and relaxation parameters. These parameters can be considered as the specific predictors of the dynamic intermittency in the initial time signal. The proposed window-time representation of the spectral characteristics, kinetic and relaxation parameters is useful for medical physics and physics of live systems.