Local Dynamics of Equations with Large Delay

被引：20

作者：

Kashchenko, I. S. ^{[1
]}

机构：

[1] Yaroslavl State Univ, Yaroslavl 150000, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 12期

关键词：

dynamics of ordinary differential equations with large delay; normal forms technique; parabolic equations; roots of quasi-polynomials;

D O I：

10.1134/S0965542508120075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The local dynamics of a differential equation with large delay is analyzed using the normal forms technique. It is shown that, in the critical cases, families of parabolic equations play the role of infinite-dimensional normal forms. It is demonstrated analytically that even a very simple first-order delay equation can have a complicated dynamical behavior. Methods for constructing classes of stable modes for such equations are described. The proposed methods are extended for the case of second-order equations.

引用

页码：2172 / 2181

页数：10

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