Does your vibrato grind to a halt when changing notes?

For some, it is easier to vibrate a double stop, than to keep vibrato going from one finger to the next. So, try this: vibrate any two fingers as a double stop - let's say 1st and 3rd. Then keep alternating between those two fingers individually on two strings; then those two fingers on one string. Memorize the feeling of the double stop and transfer that feeling to single notes. With focus and patience - as with everything - this helps your vibrato to be consistent.