GbmanL:

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Gingerbreadman map chaotic generator

Source: Chaos.sc

A linear-interpolating sound generator based on the difference equations:

x(n+1) = 1 - y(n) + |x(n)| y(n+1) = x(n)

The behavior of the system is dependent only on its initial conditions and cannot be changed once it's started.

sclang code translation:

( var xi = 1.2, yi = 2.1, size = 64; plot(size.collect { var x; xi = 1 - yi + abs(x = xi); yi = x; xi }); )

Reference: Devaney, R. L. "The Gingerbreadman." Algorithm 3, 15-16, Jan. 1992.

From superclass: GbmanN

freq |
Iteration frequency in Hertz |

xi |
Initial value of x |

yi |
Initial value of y |

// default initial params { GbmanL.ar(MouseX.kr(20, SampleRate.ir)) * 0.1 }.play(s); // different initial params { GbmanL.ar(MouseX.kr(20, SampleRate.ir), -0.7, -2.7) * 0.1 }.play(s); // wait for it... { GbmanL.ar(MouseX.kr(20, SampleRate.ir), 1.2, 2.0002) * 0.1 }.play(s); // as a frequency control { SinOsc.ar(GbmanL.ar(40)*400+500)*0.4 }.play(s);

helpfile source: /usr/local/share/SuperCollider/HelpSource/Classes/GbmanL.schelp

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