Stability of continuous wave solutions of one laser model with large delay

被引：0
|
作者：
Alexandra A. Kashchenko
机构：
[1] P.G. Demidov Yaroslavl State University,Mathematical Department
来源：
Regular and Chaotic Dynamics | 2015年 / 20卷
关键词：
large delay; stability; laser dynamics; asymptotic methods; 34K13; 34K20; 37N20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Analysis of a delay differential laser model with large delay is presented. Sufficient conditions for existence of continuous wave solutions are found. It is shown that parameters determining the main part of asymptotics of these solutions lie on a bell-like curve. Sufficient conditions for stability of continuos wave solutions are found. The number of stability regions on bell-like curves is studied. It is proved that more than one region of stability may exist on these curves. It is shown that solutions with the same main part of asymptotics may have different stability properties if we change the value of linewidth enhancement factor. A mechanism for the destabilization of continuous wave solutions is found.
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页码：173 / 183
页数：10
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