i have no idea if it has any particular name.
I saw simpler version of that game as a minigame in mmo game called DDO. In there the tiles had only 2 alternating states. I recreated it and added more tile states.
I know simple algorithm for binary version of that game and it can be used in my version to bring all the border tiles to one state and center to another. From that, when everything is perfectly symmetrical, it's fairly easy to reach all zeros.
I doubt i would ever solve it without knowing the base algorithm.