# Switching puzzle identification

I'm looking for the name of a puzzle where the goal is to activate (or deactivate) a set of buttons.

If you activate a button, it switches the state of this button and of its neighbour.

Say you start in this situation

0 0 0
0   0
0 0 0


And you activate the top left button, then you end up in this state.

1 1 0
1   0
0 0 0


If you activate the middle left button, it switches it and its neighbour (so it switches the whole left column). Result states follows :

0 1 0
0   0
1 0 0


I understand it is a simple permutation game, but I'd like to know if it has a special name. It's often encountered in video games.