Sorry about your connection issues - I shall try to be of help. Firstly please note that the quantity of errors, in your screen shot, is not as great as it first appears. The time stamp is the same on quite a few errors and results from a hub glitch.
But the errors that are valid cannot be linked with any obvious issue from my tests.
If you are still experiencing disconnections please provide the following information:
What happens to the Hub lights when the disconnects occur?
How often it happens?
Which type of connections are affected - wired or wireless or both?
Please provide as much information as you can to help us diagnose what's happening.