We perform a correlative study of solar activity (sunspot numbers) and
cosmic ray intensity (neutron monitor count rates) for the last four
solar cycles. Analysis of the running cross correlation between the tw
o series shows that the behavior of cosmic ray modulation is similar,
in general, for particles with different energy. However, a strong rig
idity dependence as well as an unusual behavior of the cross correlati
on function is found for the descending phase of cycle 20. We study th
e evolution of cosmic ray and solar activity cycles in a three-dimensi
onal phase space by means of the delayed component method. While all s
olar activity cycles and most cosmic ray cycles are planar, cosmic ray
cycle 20 is significantly three-dimensional. A concept of the momenta
ry phase of a cycle is introduced, and the phase evolution of cosmic r
ay and solar activity cycles is studied. We also discuss the heliosphe
ric conditions responsible for the unusual behavior of cosmic ray modu
lation in the descending phase of cycle 20.