How Do People Stop Panic Attacks?

The earlier you catch a panic attack, the better chance you have of calming yourself down and refocusing.  Look for cues that lead up to a full blown panic attack (including physical cues, thoughts, and feelings).  Positive visualization and deep breathing are often effective.  Overall, I've found Cognitive Behavioral Therapy (CBT) to be very effective in reducing and eventually eliminating panic attacks...it's based on the idea that your "thoughts" directly effect your feelings (i.e., your anxiety), and by changing your thoughts, you can effectively change how you feel.  I'd be happy to help you further if you're interested in exploring this avenue.