Listening to Rabbits
Rn = K·Rn-1(1-Rn-1)
Where R is the normalized rabbit population and K is the stability factor.
In the above series, the all important K determines the fate of the rabbit population. Of course this is not literally true or rabbits around the world would be cornering the market on K's. This is just a real world analogy, please don't take it literally. What makes this interesting is the effect of the value of K. The series can decay, go into positive feedback, stabilize, oscillate or go pseudo random. Such a simple equation, such effects. The magic number is 3.57. Not 42 but 3.57. We shall see.
How to analyze this data? Tens of
points will show asymptotic
behaviour, maybe oscillations. But how random is random? What
happens in the transition regions? Listen to it! Take lots of
data and turn it into an audio file for the computer
to play. Listen to this, as K steps from 3.4 to 3.9.
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The "K" Effect
& Sounds
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