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It could either be a power issue or an issue with the gamepad itself. I think we can rule out power as the pad will be drawing well under the limit the Pi can supply. Do you have another power source you can use to test? Try using your xbox pad and see if you have the same problem, if you do that would point to the power supply being the issue.

Looking up on Google it looks like somebody else has had problems with this pad so perhaps it is faulty: