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      Adaptive Oscillators:
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Adaptive oscillators are oscillators which adapt their
phase and frequency in response to external
input. These oscillators are particularly intesting when applied
to rhythmical patterns. They account for a wide variety of psychological data
on human perception of rhythm, in areas such as preferred tempo (or tactus),
invariance of rhythmic patterns across slightly different tempos, robustness
in the presence of noise, ability to handle acceleration and deceleration.
J. Devin McAuley proposed his oscillator in his
1996 doctoral dissertation. Ed Large's proposed a similar
oscillator at roughly the same time. The implementation here is from the paper
by Large and Kolen. Incidentally, one bit of work which is pending on the Vibe
site is to encode a large set of rhythmical patterns and see how each oscillator
makes different predictions. In fact, Devin suggested some time in 1995 that I do
this. I just haven't gotten around to it yet.
A third oscillator by Mike Gasser and Doug Eck is
provided for completeness. Our oscillator was designed using the previous two
for inspiration but is designed to be used in a large network of oscillators.
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