Belkin router logging my PC out and back around every 1-2 hours.

I've been getting disconnected errors while playing an online game, about every 1 to 2 hours, but it seemed like my internet was still fast and stable, so I thought it was the game, until I noticed that, just after I get disconnected, my ATT microcell will also disconnect. I checked my router's logs, and it shows that, at those same times that I get disconnected from the game, my computer's IP gets logged out and logged back into the router in a split second. It is dynamic, which is only scheduled on Saturdays to renew the lease, but when it logs me out, my PC's IP isn't being changed. I can't tell if it also affects the internet of anything connected wirelessly, as it happens so fast that the connection comes back almost immediately.

"Sep 12 00:00:08 DHCPINFORM
Sep 12 00:03:05 DHCPINFORM
Sep 12 01:03:06 XXX.XXX.X.X logout
Sep 12 01:03:18 XXX.XXX.X.X login success
Sep 12 01:14:14 XXX.XXX.X.X logout
Sep 12 01:15:43 XXX.XXX.X.X login success
Sep 12 00:47:16 DHCPINFORM
Sep 12 00:49:56 DHCPINFORM
Sep 12 00:51:27 DHCPINFORM
Sep 12 01:00:52 DHCPINFORM
Sep 12 01:04:57 DHCPINFORM
Sep 12 01:33:54 DHCPINFORM
Sep 12 02:33:55 XXX.XXX.X.X logout
Sep 12 02:34:01 XXX.XXX.X.X login success "