Minecraft – How to tame an ocelot in minecraft P.E version 1.9.1

"Adult horses, donkeys, and mules can be tamed, but not zombie horses or skeleton horses. With an empty hand mount the horse repeatedly; when it no longer bucks the player and shows hearts, it is tamed. It is necessary to tame a horse in order to breed it, give it equipment, or ride it for any length of time. Taming depends on the horse's "temper". Horses begin with a temper of 0 out of 100. When a player is riding the horse, a random number 0–99 is chosen. The horse becomes tame if this number is less than the temper, otherwise the temper is increased by 5 and the player is bucked off. Temper can also be increased by feeding the horse."

http://minecraft.gamepedia.com/Horse

You should however be able to summon a tamed zombie horse by using commands:

/summon EntityHorse ~ ~ ~ {Type:3, Tame:1}

by typing this in chat and sending it, you should have summoned a zombie horse.

According to the Wiki:

The newly tamed cat will change to one of three breeds: tabby, tuxedo, or Siamese.

There is no distinction made for PC version or PE, so my guess is, that it works the same way in all versions. Therefore, no, ocelots will change color upon being tamed.