Animate a global scale for a group of system

Hi everybody !

Ok so basically, i'm doing a glowing sphere. There are multiple component into it but it could be simplified to this

Since I want to emit continuously the sprite for circle 1 and circle 2 for a set duration, and not just a burst, the way I usually do it is as followed :



So here's my question : What I'd like to do is animate a scale of the globality, like make is grow fast at start, stay still for a sec and scale down in the end. But since the emitters of the circles themselves are continuously emitting I can't really make my animation there in a clean way. I want a global way to shape my ball once all my emitters are set.

Is it possible ?

Thanks guys !