Primarily, my question concerns „linear“ oscillator circuits in feedback topology.

(I know they are, in fact, non-linear - but which circuit is really linear?.)

Some time ago there was a discussion in this forum, see here:

https://www.researchgate.net/post/How_do_sinusoidal_oscillations_arise_in_RC_oscillators

and the final contribution was

„To me - a much more challenging question is NOT why some RC oscillators oscillate, but why some other RC circuits do NOT oscillate - in spite of the fact that they are able to meet Barkhausen`s condition.

This leads, of course, to the question why Barkhausen is only necessary but not sufficient.“

However, there was no answer. Thus, I like to ask again:

If an active circuit with feedback shall produce self-contained oscillations, what are the requirements that must be fulfilled to operate as a harmonic 0scillator?

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