Hi again,
Yes, i think that may be because of that feedback resistor i was pointing to
earlier. If the value is doubled however, that problem should go away.
The criterion i think is just how high can the second 741 output get too before
it tops out. If it can not get high enough to overcome the hysteresis (partly
determined by that feedback resistor) then it will not start. I think the design
may be somewhat marginally thought out. A little change however should
fix it for any device, 741, LM358, etc.