The Mathematics of Delay Equations with an Application to the Lang-Kobayashi Equations

机译：时滞方程的数学及其在Lang-Kobayashi方程中的应用

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For dynamical systems governed by feedback laws, time delays arise naturally in the feedback loop to represent effects due to communication, transmission, transportation or iternia effects. The introduction of time delays in a system of differential equations results in an infinite dimensional state space. We give an introduction to the basic theory of delay equations. After this introduction we illustrate the theory with a local analysis of the Lang-Kobayashi equations describing a laser with delayed optical feedback.

机译：对于受反馈定律支配的动力学系统，时间延迟自然会在反馈回路中出现，以表示由于通信，传输，运输或等差效应的影响。在微分方程系统中引入时间延迟会导致空间维数无限大。我们介绍了延迟方程的基本理论。介绍之后，我们通过对Lang-Kobayashi方程进行局部分析来说明该理论，该方程描述了具有延迟光反馈的激光器。

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来源
《Concepts, Mathematics, Physics, and Applications International Spring School Apr 16-19, 2000, Texel》|2000年|p.66-86|共21页
会议地点 Texel(NL)
作者
Sjoerd M. Verduyn Lunel; Bernd Krauskopf;
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作者单位

Mathematisch Instituut, Universiteit Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands;

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原文格式 PDF
正文语种 eng
中图分类物理学;
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The Mathematics of Delay Equations with an Application to the Lang-Kobayashi Equations

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