Asymptotic properties of the spectrum of neutral delay differential equations

被引：7

作者：

Kyrychko, Y. N. ^{[1
]}

Blyuss, K. B. ^{[1
]}

Hoevel, P. ^{[2
]}

Schoell, E. ^{[2
]}

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England

[2] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2009年 / 24卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

neutral delay differential equations; stability; spectral properties; SELF-CONTROLLING FEEDBACK; UNSTABLE PERIODIC-ORBITS; CHARACTERISTIC ROOTS; DYNAMICAL-SYSTEMS; CONTROLLING CHAOS; DIODE RESONATOR; STABILITY; AUTOSYNCHRONIZATION; OSCILLATOR; MOTION;

D O I：

10.1080/14689360902893285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of stability is found and compared to an analytically derived exact stability boundary. The approximate and exact stability borders agree quite well for the large time delay, and the inclusion of a time-delayed velocity feedback improves this agreement for small delays. Theoretical results are complemented by a numerically computed spectrum of the corresponding characteristic equations.

引用

页码：361 / 372

页数：12

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