Chrysler 200 shuts off when braking

I have a 200 dodge Chrysler when I start the car up it will start. but when I drive and turn the corner press brakes it shakes then it shuts off then I will have to restart the car again. I have a push start. can you tell me what is wrong. its only 40,000.00 miles

Model year and which engine might help with a diagnosis.

Is the car up to date with routine maintenance like spark plug, air filter, PCV valve, etc? Is the Check Engine light on?