62 lines
1.3 KiB
Racket
62 lines
1.3 KiB
Racket
#lang scribble/manual
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@(require (for-label racket))
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@title{(lorenz-l rate freq s r b h xi yi zi)}
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freq - iteration frequency in Hertz
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s, r, b - equation variables
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h - integration time step
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xi - initial value of x
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yi - initial value of y
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zi - initial value of z
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Lorenz chaotic generator. A strange attractor discovered by Edward
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N. Lorenz while studying mathematical models of the atmosphere.
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The system is composed of three ordinary differential equations:
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x' = s(y - x)
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y' = x(r - z) - y
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z' = xy - bz
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The time step amount h determines the rate at which the ODE is
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evaluated. Higher values will increase the rate, but cause more
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instability. A safe choice is the default amount of 0.05.
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vary frequency
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(audition
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(out 0 (mul (lorenz-l ar (mouse-x kr 20 sample-rate 0 0.1)
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10 28 2.667 0.05 0.1 0 0)
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0.3)))
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randomly modulate params
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(audition
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(out 0 (mul (lorenz-l ar sample-rate
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(mul-add (lf-noise0 kr 1) 2 10)
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(mul-add (lf-noise0 kr 1) 20 38)
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(mul-add (lf-noise0 kr 1) 1.5 2)
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0.05
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0.1 0.0 0.0)
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0.2)))
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as a frequency control
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(audition
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(out 0 (mul
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(sin-osc ar (mul-add
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(lag
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(lorenz-l ar
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(mouse-x kr 1 200 0 0.1)
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10
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28
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2.667
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0.05
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0.1
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0
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0)
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0.003)
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800 900)
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0)
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0.4)))
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