Splashtop should not do that. It should just disconnect and Tyne next time you try to connect it should connect right back up.
Check your desktop streamer and make sure the settings are so it doesn't close. (Internet discovery should be on)
Make sure when done you don't go into the desktop streamer settings and turn it off from the ipad. When you tap the home button on your ipad it will disconnect from the desktop, put the streamer in standby until next time you connect. There is no need to log off
Hope that helps. If not chime back in and we'll go from there
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