Is there a way to display the maximum connections per second for a specific VIP ?
There is no way in the GUI to do this but the data is available via our iControl interfaces on a virtual by virtual basis. You can query those statistics and then calculate the difference over to poll cycles to determine the rate. With that being said, I'm not sure what plotting maximum connections per second would give you (the rate at which the maximum changes???) I guess this would guage how often you exceed the previous maximum. Most likely what you are looking for is current connections per second.
a active/standy or actif/actif do they keep the states (tcp, udp,..) connections in case of failover ?
I'm going to have to have you contact Product Support on this one. I don't want to give you the wrong info regarding your specific version.
The backup file .UCS are they generated automatically or is there a way the schedule this ?
There is no built-in way to pre-schedule configuration backups, but that is easily done. You could add the entries manually to the local cron file on the BIG-IP, or you could use an outside program along with iControl to trigger the backups (the System::ConfigSync interface is where you want to look).
Hope this helps...
-Joe