2003 dodge neon cutn out when I take a curve or turn

Battery connections are Weak, ends of cables, corroded~ make sure the GROUNDS are clean and can run at least 30 amps through them~ also one other thought is the main ignition wire, if weak can short out against the hood, take a look to see the wear and tear, on that, possibly inspect at night when you can see sparks a jumpin'~

another thought is your MOTOR mounts, used to play hell when the motor is out of axis, take a floorjack to see the separation, then replace the motor/and transmission mounts~ if needed~