Those plants are very tough. They are weeds. I would suggest you add a stake to the stalk. Depending on the height, put a peice of wood, or what ever, near the stalk and tie it there. Not tightly, just enough to stablize the plant. You may decide you need two. You can use those twisty ties for that or what ever else might work. I have had branches that had very little holding them on the main plant but was able to save them with one of those sticks used for shish kaboobs (they are about $2 a package of 100) and tape (anykind seems to work) and they have grown back. I have also used the staking to lift up branches that get too heavy. Just stick them in the ground where you feel they need the most support and tie them loosely.

Have not had many rot problems. In fact do not remember the last time.Not sure I would be shaking it.