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Recovering parameters of the Ikeda equation from noisy time series

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Abstract

We describe a procedure for determining all parameters of the Ikeda delay-differential equation, modeling the dynamics of a passive optical resonator, from time series of the dynamical variable. It is demonstrated that the proposed procedure can be used for recovery of the nonlinear function and parameters of the Ikeda equation even in the presence of a high noise level.

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Authors and Affiliations

  1. Saratov Branch, Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Saratov, Russia

    V. I. Ponomarenko & M. D. Prokhorov

Authors
  1. V. I. Ponomarenko
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  2. M. D. Prokhorov
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 31, No. 6, 2005, pp. 73–78.

Original Russian Text Copyright © 2005 by Ponomarenko, Prokhorov.

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Ponomarenko, V.I., Prokhorov, M.D. Recovering parameters of the Ikeda equation from noisy time series. Tech. Phys. Lett. 31, 252–254 (2005). https://doi.org/10.1134/1.1894449

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  • DOI: https://doi.org/10.1134/1.1894449

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