circuit analysis
hey max - actually the tough part of simulating startup is finding a circuit that WONT start in the sim.. usually you get false operation in a circuit prone to startup problems, and only the silicon shows you that the startup glitch is real! hehe
anyway, about your homework. a good rule of thumb is to NOT diode connect above a ptat resistor as it will mostly give you positive feedback.
Anyway, let me try to explain hylas' point.
first, consider the quiescent point of both of these circuits equal. how it looks at first glance...
now in figure 1, if the current in the right branch increases a tiny bit, diode connected q1 mirrors this current increase over to the left branch. this causes the q4/q3 mirror to again increase the current in the right branch - this cycle immediately goes into runaway - positive feedback!
in figure 2, if the current thru the resistor increases, the mirror holds the branch constant. the voltage sags a little but does not cause runaway.
the only consistant solution for fig 2 is when the voltage across the left diode is equal to the voltage across the right diode + resistor combo, AND when the currents are equal.
the startup problem occurrs beacuse Vleft=Vright=0 and I=0 is also a self consistant solution. but I think you get the startup problem.. Hope this helps!