Mazda 6 Service Manual: No.11 engine stalls/quits, engine runs rough, misses, buck/jerk, hesitation/stumble, surges

No.10 low idle/stalls during deceleration

No.12 lack/loss of power-acceleration/cruise

Other materials:

Mazda 6 Service Manual: Intermittent concern troubleshooting
  Vibration Method 1. If malfunction occurs or becomes worse while driving on a rough road or when engine is vibrating, perform the steps below. Note There are several reasons vehicle or engine vibration could cause an electrical malfunction. Some of the things to check for are: ...

Mazda 6 Service Manual: Winter Driving
Carry emergency gear, including tire chains, window scraper, flares, a small shovel, jumper cables, and a small bag of sand or salt. Ask an Authorized Mazda Dealer to check the following: Have the proper ratio of antifreeze in the radiator. Inspect the battery and its cables. Cold reduces b ...