Maximum Action Points = cap for a given turn for which you have points saved.

Calculated using Constitution+Base.

Start Action Points = the # you start a battle with.

Calculated by (Speed*0.5)+(Perc*0.5)+Base rounded down to the nearest whole number.

For instance I have 11 Speed and 10 Perc and a Base of 2. Therefore I have 12 total starting AP

Turn Action Points = number you gain in turns after your initial turn.

Calculated by (Speed*0.5)+base

I believe this is the number displayed on the character sheet as AP.


Summary
Constitution affects max potential AP on a given turn.
Perc affects AP you'll start a given battle with.
Speed affects starting and regular turn AP.