A nymphomaniac is the word which signifies a woman with uncontrolled sexual desires. What is the best word to describe a man who demonstrates similar characteristics?
Satyriasis (also satyromania) is the corresponding condition to nymphomania in men.
It is derived from the Satyrs who in Greek mythology were drunken hyper-sexual goat-man creatures who were attendant upon Dionysus.
Wikipedia uses "hypersexuality":
hypersexuality — "Man-crazy", "Nympho", "Nymphomaniac" and "Sexual Dependency" redirects to hypersexuality. Hypersexuality is extremely frequent or suddenly increased sexual urges or sexual activity.
The appropriate form would then be "hypersexual".