I don't know for sure. But my favorite go-to Bad Guy for strange problems on 2009-2011 Aveos is the wiring harness to chassis ground connections near the underhood ECM, and also near the starter. If I recall correctly, the 2009-2011 USA/Canada 1.6 litre Aveos, and 1.8 litre Cruzes in the USA/Canada also have a "waste spark" type coil. I'm just guessing, but a bad connection somewhere, or grounding problem, might be a possible suspect.

Deano