We provide sufficient conditions for the existence of a pair of symmetric periodic solutions in the Maxwell-Bloch differential equations modeling laser systems. These periodic solutions come from a zero-Hopf bifurcation studied using recent results in averaging theory.

中文翻译：

---

Maxwell-Bloch 微分系统的新对称周期解

我们为模拟激光系统的 Maxwell-Bloch 微分方程中存在一对对称周期解提供了充分条件。这些周期解来自使用平均理论中的最新结果研究的零 Hopf 分岔。