Theoretical and Mathematical Physics

Locking of self-oscillatory systems with random dynamics

È. V. Kaliyanov, R. V. Belyaev

Kotelnikov Institute of Radioengineering and Electronics, Fryazino Branch, Russian Academy of Sciences

Abstract: Equations are proposed for describing a self-oscillatory system with a time delay and random dynamics. The interaction of two such systems with mutual diffusion-controlled coupling and the case of one-way coupling are analyzed. It is shown that in both cases, the locking is partial because difference random oscillations persist. Transient processes in random locking stabilization are considered.

Received: 22.09.2010

 English version: Technical Physics, 2011, 56:8, 1079–1085

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