The method of singular spectral analysis (SSA) is described and used to ana
lyze the series of Wolf numbers that characterizes solar activity from 1748
until 1996. Since this method is relatively new, we detail its algorithm a
s applied to the data under study. We examine the advantages and disadvanta
ges of the SSA method arid the conditions for its applicability to an analy
sis of the solar-activity data. Certain regularities have been found in the
dynamics of this series. Both short and long (80-100-year) periodicities h
ave been revealed in the sunspot dynamics. We predict the solar activity un
til 2014. (C) 2001 MAIK "Nauka/Interperiodica".