I dont think there is a link between ovulation and bleeding.
So technically your uterus gets ready for a baby and when there is no implantation, it starts to shed.
FSH, LH and Estrogen are the role player to make you ovulate and uterus sheds in absence of hcg, progesterone and estrogen. So lets say u didnt ovulate, then u wouldn't have hcg, progesterone and estrogen at the end to keep uterus lining which means u bleed. You will bleed regardless of ovulation. I have been reading a lot about hormones and cycles to understand pcos;however, i havent found a answer to short bleeding.