Bifurcations for A Single Mode Laser Model with Time Delay in Frequency Domain Methods

被引：2

作者：

Xu, Changjin ^{[1
]}

Li, Peiluan ^{[2
]}

机构：

[1] Guizhou Coll Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China

[2] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China

来源：

JOURNAL OF COMPUTERS | 2012年 / 7卷 / 08期

基金：

中国国家自然科学基金;

关键词：

single mode laser model; Hopf bifurcation; stability; frequency domain approach; Nyquist criterion;

D O I：

10.4304/jcp.7.8.1825-1830

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the dynamic behavior of a single mode laser model with delay is investigated via frequency domain approach. By choosing the delay T as a bifurcation parameter, we show that Hopf bifurcation can occur when T passes a sequence of critical values. This means that a family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a critical value. Some numerical simulation results are consistent with the theoretical ones. The approach used in this paper is an excellent supplement of previous known ones of Hopf bifurcation analysis.

引用

页码：1825 / 1830

页数：6

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