详细分析了一般周期性谐振腔的稳定性，发现对一每周期合m根激光棒的N周期谐振腔，共存在m个稳定区，并在每一稳定区内存在(N—1)个奇异点，在这些奇异点处，谐振腔处于介稳状态，对失周期性很敏感；另外，还讨论了周期性谐振腔的热稳条件问题。

In this paper, the stability of Periodic resonators is analysed. It is found that the m-rod N- Period resonator has m stable zones and in each stable zone there are N-1 sinsular points in which the resonators is critical stable and sensitive to the deviations. The thermo-stable conditions of Periodic resonators is also discussed.