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.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 62, No. 9, pp. 715–728, September 2019.
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Khorev, V.S., Sysoev, I.V., Ponomarenko, V.I. et al. Reconstruction of Systems with Delays and Hidden Variables. Radiophys Quantum El 62, 637–649 (2020). https://doi.org/10.1007/s11141-020-10009-z
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DOI: https://doi.org/10.1007/s11141-020-10009-z