What to do when Galaxy Infuse Cyanogen 3g keeps blinking off and on and missing some apps?
That is a bug and it should be taken as it is unless someone fixes the problem. I see this phone doesn't have official Cyanogen released which means you have installed a ROM with bugs or the developer didn't fix the problems when porting. You can check the unofficial Cyanogen ports for links to the development thread.
Cyanogen page: http://wiki.cyanogenmod.org/w/Unofficial_Ports#Samsung_Infuse_4G_.28SGH-i997R.29