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Estimation of the component amplitudes in oscillation spectra and the Feigenbaum constant in solutions of the Rossler set of equations

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Abstract

A method based upon approximation of the sequence of counts by a first-order trigonometric polynomial with variable frequencies of the harmonic functions is proposed for evaluation of the parameters of components in oscillation spectra. This approach was used to estimate the parameters of bifurcational period doubling and the Feigenbaum constant in solutions of the Rossler set of equations. A possibility of decreasing the level of side components of an intense oscillation by using a difference spectrum in estimating a weak spectral component is considered.

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Authors and Affiliations

  1. Saratov State University, Saratov, Russia

    V. A. Dvinskikh & S. V. Frolov

Authors
  1. V. A. Dvinskikh
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  2. S. V. Frolov
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 26, No. 13, 2000, pp. 1–4.

Original Russian Text Copyright © 2000 by Dvinskikh, Frolov.

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Dvinskikh, V.A., Frolov, S.V. Estimation of the component amplitudes in oscillation spectra and the Feigenbaum constant in solutions of the Rossler set of equations. Tech. Phys. Lett. 26, 539–540 (2000). https://doi.org/10.1134/1.1262936

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  • DOI: https://doi.org/10.1134/1.1262936

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