The phrase "a repeating cycle" is correct and usable in written English.
It can be used to describe a situation or process that occurs repeatedly in a predictable manner.
Example: "The seasons follow a repeating cycle, bringing changes in weather and daylight."
Alternatives: "a recurring cycle" or "an ongoing cycle".
Even if a hitman is arrested, "nobody gets to the bottom [of the case]," so it's a repeating cycle.
Atomic layer epitaxy (ALE) involves the deposition of a compound one atomic layer at a time, via surface limited reactions, in a repeating cycle.
Thawing SOHO's 200kg of hydrazine fuel involved a repeating cycle of turning on its heaters and then recharging its batteries, gradually raising the temperature of the tank each time.
A birdlike flute flits over a repeating cycle of string chords, heartbroken but hopeful, as Jackie processes grief with her friend Nancy.
The CCHS consists of two cross-sectional surveys conducted over two years, on a repeating cycle.
Bacon prescribed a scientific method that is based on a repeating cycle of observation, hypothesis, experimentation, and verification.
In a continuously repeating cycle, as a segment arches forward, the posteriorly adjacent segment touches down.
By the time the workers finish cleaning all 163 floors, they must start over again in a constantly repeating cycle.
As I told the crowd from the Solar Stage, this plastic doesn't get recycled like glass or aluminum that comes back to life again as bottles or cans in a perfect repeating cycle.
The premium for such juicy controversies prompts the reporting of more and more of them, which can turn governing into an endlessly repeating cycle of scandal alerts and scandal finessing.
By this point Carlos and the reader have experienced several turns of an infinitely repeating cycle — striving, failure, rehabilitation, striving and on and on — and the revolutionary rhetoric of constant struggle has come to sound less noble and inspiring than calculating and insidiously punitive.
