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 vari...

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Bibliographic Details
Published in:Radiophysics and quantum electronics 2020-02, Vol.62 (9), p.637-649
Main Authors: Khorev, V. S., Sysoev, I. V., Ponomarenko, V. I., Bezruchko, B. P., Prokhorov, M. D.
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Astroparticles
Chaos theory
Feedback
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum Optics
Reconstruction
Semiconductor lasers
Theoretical
Time dependence
Time lag
Variables
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Description
Summary: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.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-020-10009-z