Introduction (5)
The pitch issue

This "synthesis adapted oscillator" we get will sometimes exhibit a steady pitch / fundamental frequency (eg Duffing system), and sometimes a variable one (eg Lorenz system).

In the Lorenz system for instance, the harmonic content seems to be evolving the same way as the fundamental does, so it would be easy to process the system output so the pitch doesn't vary.
Other systems exhibit other behaviours, and then the solution wouldn't be the same.

Whatever the difficuties, this issue is not addressed here.

Let's suppose that the difficulties related to the first aspect are solved.

Such an oscillator, to be integrated in a "real" synthetizer, must behave properly when transposed.

Once more, the solutions may not be very difficult - it may include low pass filters and / or resampling processes.
But once more, this issue is not addressed here.

Those two issues have to be addressed at some point, though, but it seems reasonable to begin such a study after the other aspects are explored, and the other difficulties solved.

END OF INTRODUCTION
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