QuadN general quadratic map chaotic generator

QuadN.ar(freq, a, b, c, xi, mul, add)

freq - iteration frequency in Hertz

a, b, c - equation variables

xi - initial value of x

A non-interpolating sound generator based on the difference equation:

x_n+1 = ax_n² + bx_n + c

// default params

{ QuadN.ar(SampleRate.ir/4) * 0.2 }.play(s);

// logistic map 

// equation: x1 = -r*x0^2 + r*x0

(

{ var r;

r = MouseX.kr(3.5441, 4); // stable range

QuadN.ar(SampleRate.ir/2, r.neg, r, 0, 0.1) * 0.4;

}.play(s);

)

// logistic map as frequency control

(

{ var r;

r = MouseX.kr(3.5441, 4); // stable range

SinOsc.ar(QuadN.ar(40, r.neg, r, 0, 0.1, 800, 900)) * 0.4;

}.play(s);

)