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

A method based upon approximation of the sequence of counts by a first-orde r trigonometric polynomial with variable frequencies of the harmonic functi ons is proposed for evaluation of the parameters of components in oscillati on spectra. This approach was used to estimate the parameters of bifurcatio nal 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 w eak spectral component is considered. (C) 2000 MAIK "Nauka/Interperiodica".