Weird router issue

[Hey_Porter]

Or maybe not weird, and I just don't get it. I have a cable modem connected to a netgear router, which then connects to a desktop. It has been working that way properly for a couple months, then the other day it crapped out. When I reset everything, the router will initially send a strong signal, but after a minute or so it will cut out. Right when it cut out last time I scrolled down to the wireless icon, and the wireless connection is listed as "Access Point," which is not the name of my router, nor any other available routers. After that happens, I can't access my routers signal any more, even though it shows up in the "available networks" screen.

Any ideas? It's not the modem, or the cables, as the modem connects just fine to the desktop.