SuperCollider CLASSES

StandardN

Standard map chaotic generator
Inherits from: ChaosGen : UGen : AbstractFunction : Object
Subclasses: StandardL

Description

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

        x(n+1) = (x(n) + y(n+1)) % 2pi
        y(n+1) = (y(n) + k * sin(x(n))) % 2pi

The standard map is an area preserving map of a cylinder discovered by the plasma physicist Boris Chirikov.

sclang code translation:

(
var k = 1, xi = 0.5, yi = 0, size = 64;
plot(size.collect { yi = yi + (k * sin(xi)) % 2pi; xi = (xi + yi) % 2pi; xi - pi * 0.3183098861837907 });
)

Class Methods

*ar (freq: 22050, k: 1, xi: 0.5, yi: 0, mul: 1, add: 0)

Arguments:

freq

Iteration frequency in Hertz

k

Perturbation amount

xi

Initial value of x

yi

Initial value of y

mul
add

Inherited class methods

Undocumented class methods

*equation

Instance Methods

Inherited instance methods

Examples

// 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);