Reconstruction of dynamical systems

The reconstruction of dynamical systems (DSs) from experimental data is inv estigated. One of the simplest algorithms of reconstructing a rough model s ystem from the results of measurements of a one-dimensional realization of self-sustained oscillations is considered. The possibility of reconstructin g a mathematical description using scalar time series obtained both from te st experiments with known systems and actual medical-biological experiments is demonstrated. Separate attention is paid to specific features of a numb er of signals that have medical-biological origin. A possible application o f the reconstruction technique to solving the problems of multichannel conf idential transmission of information is considered.