Joystick Issue

All my lwjgl joystick games share the same problem with my Logitech Dual Action joystick: they have an initial value of non-zero, so that they all start by moving their cameras or heroes (or both) uncontrollably until I use the analog stick, at which point it all works right. I thought about just making a boolean or something, but obviously that solution wouldn't work since the joystick is constantly polled with non-zero values until I use it. So does anyone know of a way around this? Thanks in advance.