Konnova

The author considers methods of mathematical apparatus and programmed mathematical tools for diagnosing biosystems conditions. This paper describes methods that can be divided into the following classes: a study of the general spectral pattern (Fourier - analysis, JMP); study of time-frequency characteristics of the signal (wavelet - analysis, scalogram, skeleton, selection of signal from noise); study of internal time series (methods of nonlinear dynamics, fractal analysis, R/S-analysis). Special attention is paid to methods of nonlinear dynamics, - in particular, to calculation of the Lyapunov exponent which allows to identify two types of irregularities: noise and chaos. The author describes interconnection of the Lyapunov spectrum and the entropy of dynamical systems. Also the author presents findings on persistence of the investigated physiological systems.