There is no rule specifically relating to perpetual check. It is a method used to force a draw, usually used when you´d otherwise lose, and occurs when a position is exactly repeated for the third time, with the same side to move. The threefold repetition rule is official, and can occur anywhere in the game (see Carlsen-Anand today, already on move 16!)
Here´s an example of perpetual check by Black to avoid being mated; he has no other option:
(Edit - I forgot the 50 move rule, thanks Fear_the_Queen!)
Hi
Please help me with the rules for perpetual check
A P Sukumaran