Hi Matt, I grow lots of Persicum (florist's cyclamen) from seed and once they stop producing flowers, I carry on watering them so that the leaves build up energy in the corms for a couple of months, then reduce watering until they go dormant. I find that's usually about mid-July to August. Then stop watering completely and leave them dry until about October when you can re-pot them into fresh compost. They should then begin to grow again and should flower just before Christmas, continuing to flower until about the beginning of May. You can vary these times quite a lot so that you get the flowers when you want them, but I like them to start at Christmas.