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- If you pass some turn without damage, battle quicky end like as withdraw.

- If fight take too many turn, battle ends as a withdraw. If just experienced it with a unit impossible to kill as attacker (because of regen); but this unit stoped to do damage too as he cannot approch my last units wihout been killed, and a cannot approch it too because of defensive building i stayed near to defend..
 
5 turns with no damage = stalemate, the attacking armies withdraw with 0 movement points.

To be verified, but its seems it is more exactly "X turns (5 you said, may be this) during the attacker do not give damage" = slatemate.

I just experienced a fight where only defender do damage to the attacker, and fight ended as a withdraw.
The situation is : attacker as AI with hero alone (after a big fight) with big regeneration, but defenders regrouped near defense turret with 2 units.
Each time attacker approach, he was damaged by the long range unit, and then go back to regen.
I think if he approach it could be killed, but i'm not sure.

It's the fist time i saw AI unit go back to avoid damage,
In every fight AI can do that but when life unit is near 0; it was not.
 
After five turns of no damage dealing actions from both parties the battle ends. This mechanic can be exploited in defence by avoiding the opposition with a fast moving unit. Even garrisons can employ this tactic.