The rumble is a built-in feature of the GameCube, Wii, Wii U, and Nintendo Switch controllers. It provides tactile feedback to some actions happening in the game. Events that cause the controller to rumble are sometimes accompanied with the camera shaking, to further enhance the sensation of a powerful action.
The rumble feature can be enabled or disabled in Pikmin and Pikmin 2's options menu. In New Play Control! Pikmin and New Play Control! Pikmin 2 however, this setting has to be changed on the Home menu, accessible by pressing on the Wii Remote while playing any Wii game.
Oddly, in Pikmin 3 Deluxe, if co-op play is enabled and each player is using one Joy-Con, actions that will make one player's controller rumble will still make the other controller rumble too.
The following is a list of actions in the game world that cause the controller to rumble.