Reconstruction of Dynamical Systems

摘要

The reconstruction of dynamical systems (DSs) from experimental data is investigated. One of the simplest algorithms of reconstructing a rough model system from the results of measurements of a one-dimensional realization of self-sustained oscillations is considered. The possibility of reconstructing a mathematical description using scalar time series obtained both from text experiments with known systems and actual medical-biological experiments is demonstrated. Separate attention is paid to specific features of a number of signals that have medical-biological origin. A possible application of the reconstruction technique to solving the problems of multichannel confidential transmission of information is considered.