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When Psywave is used by the player, its damage will range between 1 and x-1 (where x=attacker's current level + floor[attacker's current level/2]). However, when Psywave is used by the foe, its damage ranges between 0 and x-1.
Hence in a link battle, if the "damage roll" results in 0, the target's side would accept the damage roll, but the user's side would keep rolling (taking numbers from the shared PRNG stream) until a number between 1 and x-1 is rolled. The move would then deal 0 damage on the target's side, but a nonzero amount of damage on the other side.
Besides the HP desynchronization, the PRNG would also be desynchronized, causing subsequent moves to hit on one side but miss on the other side for example.
There is a higher chance for this glitch to occur for a lower level Psywave user (e.g. 1/3 for level 2 but 1/150 for level 100).