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Journal of Automation and Information Sciences

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v34.i5.10
13 pages

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

Alexey A. Loginov
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Ukraine
Yuriy I. Samoylenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv

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.