object LorenzL extends ProductReader[LorenzL] with Serializable
A strange attractor discovered by Edward N. Lorenz while studying mathematical models of the atmosphere. The system is composed of three ordinary differential equations:
x' = s * (y - x) y' = x * (r - z) - y z' = x * y - b * z
The time step amount h determines the rate at which the ODE is evaluated. Higher values will increase the rate, but cause more instability. A safe choice is the default amount of 0.05.
Examples
// vary frequency play { LorenzL.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }
// randomly modulate parameters play { LorenzL.ar( SampleRate.ir, LFNoise0.kr(1).mulAdd(2, 10), LFNoise0.kr(1).mulAdd(20, 38), LFNoise0.kr(1).mulAdd(1.5, 2) ) * 0.2 }
// as a frequency control play { SinOsc.ar(Lag.ar(LorenzL.ar(MouseX.kr(1, 200)), 3e-3) * 800 + 900) * 0.4 }
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- def ar(freq: GE = Nyquist(), s: GE = 10.0f, r: GE = 28.0f, b: GE = 2.667f, h: GE = 0.05f, xi: GE = 0.1f, yi: GE = 0.0f, zi: GE = 0.0f): LorenzL
- freq
Iteration frequency in Hertz
- s
Equation variable
- r
Equation variable
- b
Equation variable
- h
Integration time step
- xi
Initial value of x
- yi
Initial value of y
- zi
Initial value of z
- def ar: LorenzL
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