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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Evolutional Processes in Parametrically Modulated System of Linear Oscillators under Action of External Forces. Part I. System Analysis of Force Structure

Volume 34, Issue 5, 2002, 13 pages
DOI: 10.1615/JAutomatInfScien.v34.i5.10
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ABSTRACT

Evolutional processes caused by both parametrical and non-parametrical resonance control influence on a system of linear oscillators are studied. On the basis of the Bogolyubov averaging method, a vector differential equation with constant matrix coefficients, that describes dependence of oscillation amplitude on the "slow" time, is derived. Under the condition, that direct parametric resonances are absent in the first order of small parameter, wide possibilities for structure synthesis offerees in evolutional dynamics are demonstrated.

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