Kiddie's affectionate name for the long-ears fluffy tail bouncy hopping rodent, with required "cute" factor. Used freely by Disney cartoon character Elmer Fudd about Bugs Bunny. The cartoon cute pet name genre very like Tweetey-Pie (bird) and Sylvester (Cat).
"I is a gonna blast dat bunny wabbit right outta dat hole" (Fudd - waving shotgun)
"Eh? I tawt I taw a puddy tat" (Tweety-Pie on birdcage swing)