but this cycle is indicernible as it is an ongoing process.
Yes. Men do have a hormonal cycle, as in the production of sperm, but this cycle is indicernible as it is an ongoing process. Sperm is being produced continuously whether it is ejaculated or not. It takes about 74 days for sperm to mature and become viable but meanwhile the testes already contain viable sperm, which is readily available for ejaculation. If the mature sperm is not ejaculated it simply dies and is re-absorbed back into the body but always there is mature sperm waiting in a queue.
The male hormone testosterone is produced continuously but the hormone level is slightly higher in the morning than in the afternoon (so-called circadian cycle).