If you have irregular periods there is no exact date of ovulation, sometimes irregular periods are a sign of anovulation it means that you are not ovulating. In other words if that is the case there a chance that you cannot get pregnant. It is a also a sign of polycystic ovarian syndrome (PCOS), depending on whether or not you are ovulating on your own or not. Don't lose hope although there is a slim chance, I myself has this condition and I was able to get pregnant I discovered having PCOS after several months later post delivery.
The best thing to do is to see your OB-Gyne for further evaluation in order to check whether or not you are ovulating. There are ways to detect ovulation:
Cervical Mucus changes - as your ovulation approaches your cervical mucus becomes abundant, it is watery like raw-egg white consistency and it stretches up to 1 inch or more between your fingers. Comparing it if you're not ovulating it becomes creamy and pasty.
Increased sexual desire - research has shown that most women noticeably experience increase in sexual desire when they are fertile.
Changes in cervical position - cervix will be higher, softer and more open. It requires practice to feel the difference during your fertile and infertile days.
Breasts are tender - during ovulation breasts become tender due to the increase of hormones that regulates ovulation.
Basal Body temperature changes - BBT will rise about few tenths of a degree and stay elevated after ovulation. This is caused by increased progesterone, a hormone that prepares the uterus for the coming of egg cell.
I hope this help. Good luck!