Original poster: Bert Hickman <bert.hickman@xxxxxxxxxx>
Hi Gerry,
I suspect that, since the bases of the twin coils are normally 
connected together, they should remain synchronized via this 
connection. When the bottom current is exiting the base of one 
secondary, a significant portion (or even all of the current if you 
run with the common base connection ungrounded) will be going into 
the base of the other resonator. The current flows into and out of 
the bases should help to keep the coils in sync (~180 degrees out of 
phase) even after the primary circuit has quenched...