Fourier spectrum of the signal generated at the point of period tripling bifurcation accumulation

Abstract

The object of consideration is universal rules observed in the Fourier spectrum of the signal generated at the point where bifurcations tripling the complex analytical map period are accumulated. The difference in the intensities of subharmonics at frequencies corresponding to neighboring levels in the hierarchical levels in the spectrum is characterized by constant γ = 21.9 dB, which is an analogue of constant γF = 13.4 dB for the Feigenbaum critical point. Physical observations of the spectrum at the point of period tripling bifurcation accumulation are presented.