My 1996 plymouth/dodge neon keeps cutting out, what could be wrong?

Okay, so i have a 1996 plymouth neon and everytime i drive it for over like 15 or 20 minutes it starts to cut out when i turn left. and sometimes it even dies. but it doesnt ever cut out or anything untill its been running for a little while. im clueless as to what could be wrong with it. my only guess is its the coil, maybe? im no gueniss with cars so any help will be great.mremember it only cutts out when its ran for about 20 minutes and it only does when im driving LEFT. thanks