We analyze the emergence of wiggling temporal localized states in a passively mode-locked vertical external-cavity surface-emitting laser composed by a gain chip and a resonant saturable absorber mirror. We show that the wiggling instability stems from the interplay between the third-order dispersion induced by the micro-cavities and their frequency mismatch. The latter is identified as an experimentally crucial parameter defining the range of existence of stable emission. We reveal the homoclinic scenario underlying the wiggling phenomenon, and we show how it allows us to control the oscillation parameters.

中文翻译：

---

被动锁模垂直外腔面发射激光器中时间局部状态的摆动不稳定性

我们分析了由增益芯片和可饱和谐振吸收镜组成的被动锁模垂直外腔面发射激光器中出现的时间局域化状态的出现。我们表明，摆动不稳定性源于微腔引起的三阶色散与其频率失配之间的相互作用。后者被确定为确定稳定排放物存在范围的实验关键参数。我们揭示了摆动现象背后的同调情形，并说明了它如何使我们能够控制振荡参数。