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class:: StandardN
summary:: Standard map chaotic generator
categories:: UGens>Generators>Chaotic
related:: Classes/StandardL
description::
A non-interpolating sound generator based on the difference equations:
code::
x[n+1] = (x[n] + y[n+1]) % 2pi
y[n+1] = (y[n] + k * sin(x[n])) % 2pi
::
warning:: revise formulae conversion to c like code ::
The standard map is an area preserving map of a cylinder discovered by the plasma physicist Boris Chirikov.
classmethods::
method:: ar
argument:: freq
Iteration frequency in Hertz
argument:: k
Perturbation amount
argument:: xi
Initial value of x
argument:: yi
Initial value of y
argument:: mul
argument:: add
examples::
code::
// vary frequency
{ StandardN.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }.play(s);
::
code::
// mouse-controlled param
{ StandardN.ar(SampleRate.ir/2, MouseX.kr(0.9,4)) * 0.3 }.play(s);
::
code::
// as a frequency control
{ SinOsc.ar(StandardN.ar(40, MouseX.kr(0.9,4))*800+900)*0.4 }.play(s);
::
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