Original: (HUD) defines a "chronically homeless" person as "an unaccompanied homeless individual with a disabling condition who has either been continuously homeless for a year or more, or has had at least four episodes of homelessness in the past three years."
Simplified: It is called "chronic homelessness". (HUD) defines a "chronically homeless" person as "an unaccompanied homeless individual with a disabling condition".