Dispersive Time-Delay Dynamical Systems.
Dispersive Time-Delay Dynamical Systems.
复制标题
DOI：
10.1103/physrevlett.118.193901
复制
发表时间：
2016-10
影响因子：
8.6
通讯作者：
A. Pimenov;S. Slepneva;G. Huyet;A. Vladimirov
中科院分区：
文献类型：
--
作者：
A. Pimenov;S. Slepneva;G. Huyet;A. Vladimirov
我们提出了一种理论方法来研究时滞模型通常描述的动力系统中色散的影响。偏振方程的引入提供了一种引入色散作为分布式延迟项的方法。幂级数中此项的展开（通常用于研究空间扩展系统中波的传播）可能会导致虚假不稳定性的出现。这种方法使用长腔激光器进行说明，其中在正常色散范围内，实验和理论都显示出稳定的操作，而在异常色散范围内观察到调制不稳定性，通常称为本杰明-菲尔不稳定性。
We present a theoretical approach to investigate the effect of dispersion in dynamical systems commonly described by time-delay models. The introduction of a polarization equation provides a means to introduce dispersion as a distributed delay term. The expansion of this term in power series, as usually performed to study the propagation of waves in spatially extended systems, can lead to the appearance of spurious instabilities. This approach is illustrated using a long cavity laser, where in the normal dispersion regime both the experiment and theory show a stable operation, while a modulation instability, commonly referred as the Benjamin-Feir instability, is observed in the anomalous dispersion regime.