一类含有可饱和吸收体第二类激光系统Hopf分支的分析

Analysis for Hopf Bifurcation of the Second Class of Lasers System with Saturable Absorbent

讨论含有可饱和吸收体第二类激光系统的Hopf分支问题,分析了系统平衡解的稳定性及其产生Hopf分支的条件;得到了系统的分支周期解及其稳定性的判据;并阐述了本文结果的物理意义。

In this paper, the problem for Hopf bifurcation of the second class of lasers system with saturable absorbent is discussed, and the existence and stability of bifurcating periodic solutions for this systems is proved. The asymptotic form and periods of the small amplitude periodic solutions bifurcating from the steady state are obtained. In the course of time, the physical meaning of the results for this paper is explained.