Christmas Cactus or Schlumbergera
Normally start flowering in December and go on to the early spring. They can start in October if its was a plant purchased from a garden centre which has been forced into flower. Or the light conditions as in recent years in the autumn have been all over the place triggered flowering early. The key to getting it to flower next year is to be mean to it, feed it in the later winter with some liquid house plant food and do not feed it again then in October cut back on it watering and let it wilt a few times, this will trigger the formation of lots of new flower buds for next year, its a basic survival instinct all plant have but in Christmas cactus it seems to be extra strong.