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object LatoocarfianL extends Serializable

A linear-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:

x[n+1] = sin(b * y[n]) + c * sin(b * x[n])
y[n+1] = sin(a * y[n]) + d * sin(a * x[n])

According to Pickover, parameters a and b should be in the range from -3 to +3, and parameters c and d should be in the range from 0.5 to 1.5. The function can, depending on the parameters given, give continuous chaotic output, converge to a single value (silence) or oscillate in a cycle (tone). NOTE: This UGen is experimental and not optimized currently, so is rather hoggish of CPU.

Examples
// default initial parameters
play { LatoocarfianL.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }
// randomly modulate all parameters
play {
  LatoocarfianL.ar(
    SampleRate.ir/4,
    LFNoise2.kr(2).madd(1.5, 1.5),
    LFNoise2.kr(2).madd(1.5, 1.5),
    LFNoise2.kr(2).madd(0.5, 1.5),
    LFNoise2.kr(2).madd(0.5, 1.5)
  ) * 0.2
}
See also

LatoocarfianN

LatoocarfianC

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  4. def ar(freq: GE = Nyquist(), a: GE = 1.0f, b: GE = 3.0f, c: GE = 0.5f, d: GE = 0.5f, xi: GE = 0.5f, yi: GE = 0.5f): LatoocarfianL

    freq

    Iteration frequency in Hertz

    a

    Equation variable

    b

    Equation variable

    c

    Equation variable

    d

    Equation variable

    xi

    Initial value of x

    yi

    Initial value of y

  5. def ar: LatoocarfianL
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