Cycles

Late 14c., from Late Latin cyclus, from Greek kyklos (κύκλος) “circle, wheel, any circular body, circular motion, cycle of events,” from Proto-Indo-European *kwel- “to roll, to move around, wheel” (cf. Sanskrit cakram “circle, wheel,” carati “he moves, wanders;”

Avestan caraiti “applies himself,” c’axra “chariot, wagon;” Greek polos “a round axis” (Proto-Indo-European *kw- becomes Greek p- before some vowels), polein “move around;” Latin colere “to frequent, dwell in, to cultivate, move around,” cultus “tended, cultivated,” hence also “polished,” colonus “husbandman, tenant farmer, settler, colonist;” Lithuanian kelias “a road, a way;” Old Norse hvel, Old English hweol “wheel;” Old Russian kolo, Polish koło, Russian koleso “a wheel”) (source: www.etymonline.com).

From the Indo-European root *KAR-/*KVAR-, which expresses the idea of ​turning, going round.

Sanskrit chakra, wheel. The greek kyklos, circle, comes from the doubling of the root *KAR-.
It is the same root of crown and cross.
Thus cycle means circular motion and (with idea of expansion for the doubling of the root) evolution.

Etymosophy result: circular, evolutive motion.