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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| Veröffentlicht in: | Radiophysics and quantum electronics 2020-02, Vol.62 (9), p.637-649 |
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| container_title | Radiophysics and quantum electronics |
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| creator | Khorev, V. S. Sysoev, I. V. Ponomarenko, V. I. Bezruchko, B. P. Prokhorov, M. D. |
| description | 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. |
| doi_str_mv | 10.1007/s11141-020-10009-z |
| format | Article |
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| source | Springer Nature - Complete Springer Journals |
| 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 |
| title | Reconstruction of Systems with Delays and Hidden Variables |
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