We propose a method for reconstruction of dynamical systems with delayed feedback, which have several hidden variables including a hidden variable with a time delay. The method is based on the original approach allowing one to significantly reduce the number of the starting guesses for a hidden variable with a delay. The method is used for reconstructing the model system of the Lang–Kobayashi equations, which describes the dynamics of a single-mode semiconductor laser with time-delayed feedback, using periodic and chaotic time series. The dependence of the systemreconstruction quality on the accuracy of specifying the starting guesses for unknown parameters and hidden variables is studied.

中文翻译：

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具有延迟和隐藏变量的系统重建

我们提出了一种具有延迟反馈的动态系统重建方法，该系统具有多个隐藏变量，包括一个具有时间延迟的隐藏变量。该方法基于原始方法，允许显着减少具有延迟的隐藏变量的起始猜测次数。该方法用于重建 Lang-Kobayashi 方程的模型系统，该方程描述了具有时滞反馈的单模半导体激光器的动力学，使用周期和混沌时间序列。研究了系统重构质量对指定未知参数和隐藏变量的起始猜测的准确性的依赖性。