Reconstruction of Systems with Delays and Hidden Variables

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.