ОПЕРАТОРНЫЙ МЕТОД ИССЛЕДОВАНИЯ МАЛЫХ АВТОКОЛЕБАНИЙ В СИСТЕМАХ С ПОСЛЕДЕЙСТВИЕМ

Юмагулов М.Г.; M.G. Yumagulov; Якшибаева Д.А.; D.A. Yakshibaeva

doi:10.18287/2541-7525-2013-19-9.2-37-44

OPERATOR METHOD FOR THE STUDY OF SMALL OSCILLATIONS IN SYSTEMS WITH AFTEREFFECT

Authors: Yumagulov M.¹, Yakshibaeva D.²
Affiliations:
1. Bashkir State University
2. Sibai Institute (branch) of Bashkir State University
Issue: Vol 19, No 9.2 (2013)
Pages: 37-44
Section: Статьи
URL: https://journals.ssau.ru/est/article/view/4709
DOI: https://doi.org/10.18287/2541-7525-2013-19-9.2-37-44

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Abstract

This paper proposes operator method for the study of effect of appearence of small oscillations in systems with aftereffect.The method leads to new sufficient features of Andronov - Hopf bifurkation and allows to obtain approximate formulas for emerging decisions. As an application, we consider the problem of bifurcation points of Hutchinson - Wright equation.