RUS  ENG
Full version
JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2007 Issue 4, Pages 92–100 (Mi at972)

Control in Social Economic Systems

Break of information-investment flows in the process of switching over intermittency in the change of the trend of development of the dynamic system

V. G. Kleparskiy

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

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.

PACS: 02.10.Ox

Presented by the member of Editorial Board: V. A. Lototskii

Received: 06.06.2006


 English version:
Automation and Remote Control, 2007, 68:4, 657–664

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026