How do you reproduce Jasmine plants? Is it like vines where you cut at a node and plant, or is there seeds?

My Jasmine plant was dying and some of the stalks died. I put it outside and the one remaining stalk is fourishing, how do I "spread the wealth"? Also any other care tips would be greatly appreciated.

How do you reproduce Jasmine plants? Is it like vines where you cut at a node and plant, or is there seeds?
I suggest you layer it. ie. place one of the tendrils on the ground, cover it with soil and place a brick or rock on it to hold it in place. Nip off the growing end. Keep it moist and you will find it will produce roots from the leaf joints. Once it has rooted, separate it from the parent plant.