What do you call something that happens on a cyclical basis?

Question

What do you call something that happens on a cyclical basis or something that keeps on repeating? For example, wars keeps on happening. What do you call such things that keeps on happening? I thought of the adjective cyclical, but it's an adjective and not a noun, and I thought about cycle, but cycle is not an event, but a period of time that's longer than an event that keeps on happening, so it's not quite the word I am looking for.

Answer 1

An instance of something within a repetitive cycle is an iteration:

1 : the action or a process of iterating or repeating: such as
a : a procedure in which repetition of a sequence of operations yields results successively closer to a desired result
b : the repetition of a sequence of computer instructions a specified number of times or until a condition is met
2 : one execution of a sequence of operations or instructions in an iteration
3 : VERSION, INCARNATION
// the latest iteration of the operating system

To use an example, the Matrix Wiki says this about Neo, the protagonist of the trilogy of Matrix movies (emphasis mine):

During his meeting with the Architect, Neo learns a surprising truth about the Matrix. The Matrix is much older than Morpheus and the humans of Zion realize. The Architect explains that, in addition to two unstable versions of the Matrix, there have been five iterations, or cycles, of the Matrix. In each stable iteration, an incarnation of The One has appeared. Neo is the sixth One to appear in this sixth Matrix iteration.