Yeah we all have our own version of wax on, wax off. 
Are you thinking of the two forced oscillators as the opposing muscle groups driving an idealized RDT motion? Or something more complex that weāve discussed over Zoom? Iād guess the latter.
My zeroth-order setup of this problem would be as a driven pendulum, but without the small-angle approximation the equations of motion there rapidly become pretty rough to solve analytically, and itās unclear what insight I could glean from that even if I could (besides probably upending all of diff eqs lmao).
(Edit: considering $\theta = s/r$ with an r of, say, 12cm and s of <2cm for very fast picking small angle might work but as I think about this more I think this setup wouldnāt actually yield any useful insights)
((Edit edit: we need $\LaTeX$ integration up in here))
The latter.
I think itās almost guaranteed to be impossible to solve analytically, which is why I havenāt bothered trying to derive anything more accurate.
While I canāt be certain, I very much doubt it would provide any more meaningful insights either. You canāt increase the frequency of an oscillator by decreasing amplitude, only by increasing the frequency of the driving.
Whatever the description, I doubt itās actually relevant to learning how to do all this. The nervous system isnāt ācalculatingā a solution to DEs and using to to āprogramā movement. You just move prospectively based on haptic perception thatās lawful at the scale of the problem, and it works or it doesnāt.
Also, its would be absolutely hilarious if we had LaTeX integration.
I guess Spiro simply used fancy words to say āI can do the hyper-picking twitchā. It sounds funny but Iām confident thatās what he meant.
He has posted here before (exactly one time a year and a half ago haha) - perhaps he can elucidate. @sdussias
incredible player, but if you really want the juice youāve gotta find the fruit tree. That tree is Marshall Harrison imo.
Marshall Harrison is obviously very skilled with a tremendous economy picking style but Spiro Dussias seems to be doing stuff Iāve never really heard/seen before.