I meant to write 3 way, honest ! (it wouldn't make sense with the 2 way)
IMO
IIRC regulation is not a level playing field
my TV said last night diesels produce more Nox (than SI with 3 way) and that's tolerated
I think what you call toggling is just to make the f:a regulation hold the mean value for simultaneous oxidation and reduction
1.02 f:a ..... there's no mystery
all other ratios give either oxidation or reduction
reduction particularly can't happen with any Oxygen preesent
the way the system works is continuous stepping weaker till Oxygen is sensed, then 'instantly' richer by a step
cycling in under 1millisec
then stepping weaker until Oxygen is again detected, and an instant step back richer
the circuit design (steps etc) is what gives that particular mean of 1.02
the catalyst behaviour follows that mean, the toggle is far too small and short duration for the cat to 'see' it
the resulting correct mean ratio is held for ever, without any calibration ever
I could fit it to a 1969 car, it would be fine
a 3 way doesn't have to be operated 3 way all the time
in some modes of operation a lean mixture can be used by more complex engine designs producing minimal NOx in those modes
and now in even the standard engine designs lean mixture can be used for maybe 15-30 sec ??
because the catalyst will allow some 'backlog' that is cleared when the 1.02 mixture is resumed ?
apologies if this is the toggle referred to by my fellow poster
seriously, there seems no proper current information out there, I would like some
the big point is that for 75 years all cars used a lean mixture most of the time
a lean mixture (to the extent that the engine tolerates leaning) controls power by reducing fuel without throttling
1980s engines (in Europe anyway) were designed to tolerate a lot of leaning and were very economical
the 3 way cat killed off leaning
but you wouldn't lean in F1 eg 2014