I hate to burst your bubble, but when you do the dynamic systems math, they are sadly equivalent. You are working in the continuous time domain while the synchronous devices are working in the discrete time domain.
That's why I posted it here: it's a fun use-case for asynchronous stuff you can do on FPGAs.
In all seriousness, I'm hoping that "Lyapunov computing" will get some more theoretical attention, because it is very easy to simulate extremely complicated dynamic systems (not constraining yourself to linked oscillator systems), but quantum computing has sort of sucked the air out of the "alternative computing technologies" ecosystem. In any case, the circuits have far outpaced the development of theory in this area.