  In this paper, results of investigations of the simplest mechanisms of a
structure formation are presented. In frameworks of the suggested model the
main attention was focused on such characteristics as wiring of the system,
clusters formation, dynamics of the wiring. The idea to take into account an
influence of the environment factor is employed in the proposed model.
Investigations of systems with such principle of a structure formation reveal
that the system's dynamics has typical features of self-organized criticality
phenomenon. In the avalanche-like processes, which occur in the wiring
dynamics, a power law was found with the index close to 1.4. It is independent
on the environment factor (which in a sense can be considered as system
parameter). The system wiring is approximated pretty well by the Gaussian
distribution. The size of the system does not play any role in the dynamics of
the model.
