I agree with Nhbabs. The Verbena boniarensis will occasionally overwinter for me, but reseeds with abandon. A friend who lives close by me has the Verbena planted against her house and beside her cement drive and it returns reliably in that warm, protected spot. It is a great favorite of many nectaring insects and hummingbirds. Martha

Well, firstly, and more important than a name for them is if you want to save them they need to come out of whatever they are planted in at the moment. What is the soil you've used, it looks like ordinary garden soil maybe? They are definitely succulents and that being the case I use a free draining gritty mix made up of equal amounts of small gravel, perlite, bark chips and very gritty cactus mix (some may not advise this last ingredient as some C&S mixes are very peaty, so be careful here with what you use, if you can't get a good one, lessen the amount of it). It needs to be damp, that's all, don't water until you see signs of growth. Cut of any brown/dead/decaying end of their stem and let them dry for a day or so, it won't harm them, then plant in your new mix. A name may well come in soon, but they will not do well in that soil I'm certain. Hope this helps. Gill UK

Is this a Vinca? Blue to Purple pinwheel flowers in spring? Mojo and Illumination have variegated leaves. Here is a link that might be useful:

I would wait until March to do any pruning of it unless it looks bad. They sometimes lose leaves when we get a cold snap like we did in 2010. I usually cut it back to a height where it will look bushy. I've seen them all different sizes from a couple of feet tall to 12 feet tall. Mine is about 7 feet tall now, but is losing some leaves because of the cool nights we had in November. Less leaves seem to come off if I water it a bit because here in Sarasota we've only had about 1 1/3 inches of rain since November one and most of it 2 days ago. They say it's natural to lose some leaves when nights start getting below 50 degrees.