my 2005 pacifica turn off and on when motor is cold after 10 min is good sometime when I push the gas pedal the engine check on and when I unplug the battery wire and plug again it goes good what is this for?

I think when my car turn off and on (for a second) the electric cut off and on

well for one thing chryslers a very picky about having the battery disconnected and re connected please stop doing this. the computer hold other information that tells the car personal antitheft systems and doing this might erase them also the transmissions have a learning curve to opperate and but disconnecting the battery you can delete the programming for the car. when the light comes on have a parts company hook up a scanner to the car and see what the problem is. you could have a temp sensor that is failing and there for it is shutting off the motor. best have it scanned and say your self a headache in the future.