Estimation of embedding dimension by experimental data. Part 1

Abstract

In connection with the investigations of initial stages of appearance of turbulence in the current-carrying mediums and also the investigations of relaxation oscillations in thin-film bridges of high-temperature superconductor $Y Ba_2 Cu_3 O_{7-x}$ some problems of estimation of asymptotical parameters of chaotic dynamic systems are considered. The mechanism of measuring modes matching (discretization by time and by amplitude at the limited buffer memory of registering device) to the fixed procedure of signal handling is discussed. It is shown that the problem of estimation of embedding dimension can be reduced to the investigation of sufficiently simple phase transitions at the integer-valued finite-dimensional lattices.