Kharchenko V. Features of ordered structures formation in complex dynamic and statistical systems.

It was found that the main condition for stable periodic irradiation in semi-classical optical systems is an introduction of an additional nonlinear filter.For complex statistical systems relations between thermodynamical and multifractal functions of the corresponding self-similar phase space are found. Analysis of spatially extended stochastic systems has shown that an internal noise leads to destabilization of disordered state in the early stages, whereas in stationary case such state is stable. Corresponding spatially structures are studied in details. It is found that an increase in the noise intensity leads to second-order phase transitions and uncritical transitions.