Towards the end of the game it seemed that Brown was exchanging insults with some of the 1,400 travelling Swindon fans.
Brown said: "The initial incident was not aimed at the fans but at myself in frustration. I would like to apologise to anyone who has take any offence to what I said.
After a difficult time at the start of the season, which was down to my own actions, I would not put myself in that position again and once again apologise to the fans for any offence caused on Tuesday."