StandardN standard map chaotic generator

StandardN.ar(freq, k, xi, yi, mul, add)

freq - iteration frequency in Hertz

k - perturbation amount

xi - initial value of x

yi - initial value of y

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

x_n+1 = (x_n + y_n+1) % 2pi

y_n+1 = (y_n + ksin(x_n)) % 2pi

The standard map is an area preserving map of a cylinder discovered by the plasma 

physicist Boris Chirikov.

.

// vary frequency

{ StandardN.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }.play(s);

// mouse-controlled param

{ StandardN.ar(SampleRate.ir/2, MouseX.kr(0.9,4)) * 0.3 }.play(s);

// as a frequency control

{ SinOsc.ar(StandardN.ar(40, MouseX.kr(0.9,4))*800+900)*0.4 }.play(s);