ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

A Delay Effect upon Motions in one Mathematical Model


Yu. F. Dolgii

Ural State University,
Department of Mathematics and Mechanics,
51 Lenin av., 620083 Ekaterinburg, RUSSIA

A. V. Zakharov

FGUP NPO Avtomatiki,
145 Mamin-Sybiriak st., 620075
Ekaterinburg, RUSSIA


The article is devoted to an analysis of motions for the mathematical model with delay mathematical model with delay suggested V.I. Zubov. He determined that this model had finite number of circular orbits. This paper authors discovered that given circular orbits are unstable. The bounded orbits differing from circular orbits were not obtained. Numerical modeling results confirm the theoretical conclusions.

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