Blender Hypno Eyes

A really basic example set of hypno eyes in Blender. You may have to do some finagling to get the material to work on your character's eyes depending on how they're setup. I've included 2 versions of the shader:

HypnoEyesUV is much more accurate but requires you to draw a seam down the middle of your eye sphere and then unwrap (so slight bit more effort).

HypnoEyesObject is less accurate and requires each eye to be a separate mesh, but you can literally just slap it onto a freshly made UV sphere with no problem.