Thanks for that fast answer. You do not know, but I am new only to the forum, not the game itself. I already play elements for over three years now. Thank you for explaining detailed anyways. Very kind. I just did not know, SoP does that one-turn-delay, like for example turtle-shield does and usually I do not use cells in my decks.
I read the description like "creatures do not attack". It is the same on sundial although it says there, that creatures do not attack "for one turn". So when a creature with adrenaline has 'more turns' it should attack also when sundial is out, but does not. SoP does not say anything about "for one turn". It is permanent. So something is at least strange then, I think. I might understand when it would be the other way round.
Never assumed you were a newbie, I have seen lots of users with just 4/5 posts and with 3 years or so of gaming, while I'm here only from April.
As for the rest, yeah, I think they should belong to "what the cards don't tell you". By playing, you probably noticed that SoP applies a delay at the end of your turn which disappears really fastly, even though the text is similar to Sundial's.
As for sundial, instead, that "one turn" is referred to card itself, you could read it as: as long as this card is on the field, creatures don't attack. This card disappears after one turn.
The turns adrenaline gives to the creature are theorical and self-applied, this means it works on statuses applied to the creature itself, but not on something indipendent.
EDIT: just saw your edit. That's pretty basic: the Adrenalined Cell had an ATK of 13 which rose to 15 and then to 17. When a creature has an ATK of 15, it attacks only twice, the original 15 attack, and a second 5 attack. The 5 attack is absorbed, while the 15 didn't even start because of SoP. When a creature surpasses 15 (so 16+) it has no more attacks, it only keeps its base attack. You can simulate Adrenaline
here