Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation

被引：4

作者：

Kashchenko, S. A. ^{[1
,2
]}

机构：

[1] Demidov Yaroslavl State Univ, Yaroslavl 150003, Russia

[2] Natl Res Nucl Univ MIFI, Moscow 115409, Russia

来源：

MATHEMATICAL NOTES | 2018年 / 104卷 / 1-2期

关键词：

averaging; stability; normal forms; bifurcations; asymptotics;

D O I：

10.1134/S0001434618070246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The delay logistic equation with rapidly oscillating coefficients is studied. An averaged equation is constructed, and its dynamics is investigated. Algorithms relating the dynamical modes of the original and averaged equations are developed. It is established that the solutions are particularly sensitive to the choice of functions describing the oscillations of the delay coefficient.

引用

页码：231 / 243

页数：13

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