wipers stop when washers activated

FOR THE PAST 2 1/2 YRS MY WIPERS STOP WORKING IN THE MIDDLE OF A CYCLE. WHENEVER I PULL THE WIPER ARM TO ACTIVATE IT TO WORK ONE TIME OR WHEN I ACTIVATE THE WASHER, THE WINDSHIELD WIPERS START TO WORK AND THEN STOP. IF I MOVE THE WIPER TO WORK AT SLOW SPEED OR FAST SPEED, THEY START WORKING AGAIN. WHEN I GO TO ACTIVATE THE WIPER FOR ONE SINGLE SWIPE OR TO WIPE OFF THE WINDSHIELD FLUID, THE WIPERS STOP IN THE UPRIGHT POSITION AND DON'T COMPLETE THE CYCLE! I HAVE REPLACED THE WIPER MOTOR BUT IT IS STILL HAPPENING. WHAT CAN IT BE???