Here some examples of asymptotic activation in other arts. It's the vibration you see at the end of the staff at strike termination.
from 30 seconds in:
As I mentioned before it's more often done empty hand in Chinese arts. The vibration, contracted asymptotic activation, is very apparent at strike termination in:
O Sensei trained exclusively with asymptotes, albeit more in the decontracted. Being the foundation of O Sensei's practice, it needs to be reintroduced if one is really interested in learning Aikido.
Tenyu, are you trying to describe the asymptotic die-off of kinetic energy? That's not an "activation". Hit a fork on the edge of the table and listen to the asymptotic attenuation of noise, for example.