My '05 5-sp has never done anything like that, and IMO something is not right there with your Aveo. Have you checked the functioning of the TPS? Or perhaps if the throttle body has enough gunk, then maybe the butterfly is getting hung up on it as it's trying to close. If not one of those,then a restriction in the throttle cable or gas pedal comes to mind, but I'd guess the chances of a problem like that hanging around are somewhat remote.