Gs. Kurbasova et Lv. Rykhlova, IDENTIFICATION OF THE REGIME OF THE POLAR MOTION USING COORDINATE DATA FOR 1900-1990, Astronomy reports, 42(4), 1998, pp. 558-565
Analysis of the spectral power-density function and the Poincar'e meth
od are used to identify the type of motion exhibited by the Earth's po
le from 1900-1990. The former method allows identification of a quasi-
periodic regime with two main frequencies-annular and Chandler. The ex
istence of combinational frequencies in this spectrum and the broadeni
ng of the spectral peaks suggest a quasi-periodic regime making a tran
sition to chaos. However, the appearance of a third independent freque
ncy in the spectrum is necessary for such a transition. It is conclude
d that the identification of the polar-motion regime over the time int
erval considered is insufficient to predict the further evolution of t
he system over arbitrarily long times.