Those red ones look similar to the 'Red Fuseau' variety of which we have a patch or two. They're incredibly hardy - I've tossed ones that had gone soft in the cellar out into the cold of winter just to find a new patch growing where a small rodent had pulled it into contact with the ground.
They're upper soil profile tubers, so if there happens to be a boundary that they need to have, you can drive 6" metal edging into the ground around the patch. Voles and mice love them though, so if you're using stick mulch or wood chips in the planting area be prepared to do some relocating in the spring. Another US native tuber that did pretty well for us as a companion to sunchokes was groundnut (Apios americana), which will climb the sunchokes stalks without inhibiting them. They'll do better planted on the southern exposure of the sunchoke patch than the middle or northern edge.