Thanks for your query.
Brown discharged have no relation with cyst
on your ovary.
When your period is brown, it means the menstrual flow took longer time to exit the vagina.
As the menstrual flow slowly, it loses its oxygenated red hue and becomes darker red, then brown and at times practically black.
Most women have dark brown fluid before their period and some have the darker light flow as the period tappers off.
Take care of your self