It may not be to do with Midori, although I agree with alexeames
about Chromium. Losing the network connection in LXDE, even though it works from the command prompt, is a fairly common experience - there's a thread here
. It is thought to be power-related, although the compatibility of certain hub chip-sets has also been brought into question.
I presume you are
powering your Belkin adapter from a hub, and not directly from the Pi...
For me the issues disappeared when I powered the Pi from a usb port on the hub instead from its own separate power supply, even though the power supply I was using for the Pi was a decent quality, UK sourced, 2A one. So the problem seems to have been using multiple supplies, rather than the adequacy of a particular supply.
My Pi setup has now been stable and reliable for several weeks, which means I can spend my time doing interesting things with it rather than trying to make it work.