Accession Number : AD0618650

Title :   PROBLEM OF SYNCHRONIZATION OF DYNAMIC SYSTEMS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Blekhman,I. I.

Report Date : 01 JUN 1965

Pagination or Media Count : 46

Abstract : It is noted that synchronization constitutes a phenomenon observed in the behavior of both artificially created and natural objects, e.g., electrical and vacuum-tube oscillators, mechanical vibrators, pendulum clocks, musical instruments, and certain biological systems. A general formulation is made of the problem of synchronization of dynamic objects and its peculiarities are examined. The basis specific problems and applications are enumerated. Mathematical apparatus is indicated which is useful for studying a basic class of problems of synchronization, i.e., problems concerning the coordinated functioning of several almost identical self-oscillation objects weakly interacting with one another. The observed tendency of such objects of the most varied nature to synchronous movements finds its own mathematical expression in the fact that a defined system of differential equations with periodic coefficients, as a rule, allows stable periodic solutions. A short survey of works on the theory of synchronization of dynamic systems is presented and problems yet unsolved are enumerated. (Author)

Descriptors :   (*SYNCHRONIZATION(ELECTRONICS), DYNAMICS), THEORY, OSCILLATORS, VIBRATORS(MECHANICAL), MATHEMATICAL ANALYSIS, USSR

Distribution Statement : APPROVED FOR PUBLIC RELEASE