  This article is talking about the study constructive method of structural
identification systems with chaotic dynamics. It is shown that the
reconstructed attractors are a source of information not only about the
dynamics but also on the basis of the attractors which can be identified and
the mere sight of models. It is known that the knowledge of the symmetry group
allows you to specify the form of a minimal system. Forming a group
transformation can be found in the recon-structed attractor. The affine system
as the basic model is selected. Type of a nonlinear system is the subject of
calcula-tions. A theoretical analysis is performed and proof of the possibility
of constructing models in the central invariant manifold reduced. This
developed algorithm for determining the observed symmetry in the attractor. The
results of identification used in real systems are an application.

Dynamical Systems;Computational Engineering, Finance, and Science;Systems and Control;Chaotic Dynamics