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: Articles
URL: https://journals.ssau.ru/est/article/view/4709
DOI: https://doi.org/10.18287/2541-7525-2013-19-9.2-37-44
ID: 4709

Cite item

Full Text

Abstract
About the authors
References
Supplementary files
Statistics

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.