Consider the response time of VOMs which is better at viewing the smooth dynamic changes than using rapidly changing DMM.

When the resonant frequencies are chosen in the range of 1Hz, or RC values in the 3 second range, one can see that the Chaotic Gyrator Oscillator has an analog flip flop from positive feedback that changes the resonant frequency slightly and the mean voltage toggles between two levels of this Oscillator at the same time.  This gives the random chaos figure 8 patterns and other Lissajeau XY scope figures that characterize this design.  

Since the bistable side is analog and quasi-synchronous its effect is continually changing the initial conditions for stable oscillation at f1 and f2 while affecting the mean voltage for each.  This results in no identical patterns in a short time span,  it over a long time span, the patterns become obvious with min/max range limits.  Changing the R ratios or discrete values also affects these patterns greatly as well as the resonant frequencies of the gyrator Oscillator. So there is a sweet spot for maximal gyrations.