Non-linear dynamics of positional parameters of the collimated coherent beam at the end of the long atmospheric path

The non-linear dynamics methods were applied to the analysis of the time series of the collimated beam positional characteristics at the output of the long atmospheric path. The results are presented. The space of embedding dimension values for components of the first and second spatial moments and the structure of phase portraits, were obtained as well as Poincar recurrence time. Those allow to classify quantitatively the structure of turbulent distortions in a beam intensity distribution profile.