Packages

object LorenzL extends 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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  4. 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

  5. def ar: LorenzL
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