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Avtomatika i Telemekhanika, 2007, Issue 4, Pages 92–100
(Mi at972)
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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.
Citation:
V. G. Kleparskiy, “Break of information-investment flows in the process of switching over intermittency in the change of the trend of development of the dynamic system”, Avtomat. i Telemekh., 2007, no. 4, 92–100; Autom. Remote Control, 68:4 (2007), 657–664
Linking options:
https://www.mathnet.ru/eng/at972 https://www.mathnet.ru/eng/at/y2007/i4/p92
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Statistics & downloads: |
Abstract page: | 142 | Full-text PDF : | 64 | References: | 27 | First page: | 1 |
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