staling

Update: problem solved, thank you all for the help! Changed the fuel filter and cleaned the injector, ran better but not perfect, borrowed a "know good" injector from a friend and it run perfect again. Did a few more tries to get my injector to run but ended up just buying a new one, can´t let...

Hi guys can i pick yours Brain's with a question? I start her up get on a ride at less than half taps till she warms up (+5min). when i come to a stop she tends to cut out, but starts rightback up then its ok? Has anyone got any ideas what it could be?