Abstract:
Studies are made of basic regularities of the process of switching over intermittency in the change of the trend of development of the cascade-hierarchical system. It is shown that the transition from the section of growth to the section of fall can be explained as a result of the change of the sign of the feedback (from the positive to the negative one) between the increment of the intermittency exponent $\Delta\mu$ and the increment of the fractal dimension $\Delta d_f$ (the expansion of the “channel” of attraction) for the most rapidly orienting (short-term) dynamic substructures. The subsequent break of the information-investment flow (the flow of commands) from the long-term to short-term substructures makes it impossible to support the dynamic equilibrium in the cascade-hierarchical system, which leads to the bifurcation transition to a new section of the channel of attraction.