HelpSource/Classes/HenonN.schelp

   1 class:: HenonN
   2 summary:: Henon map chaotic generator
   3 categories:: UGens>Generators>Chaotic
   4 related:: Classes/HenonL, Classes/HenonC
   5
   6 description::
   7 A non-interpolating sound generator based on the difference equation:
   8
   9 code::
  10         x[n+2] = 1 - a * pow(x[n+1], 2) + b * x[n]
  11 ::
  12 warning:: revise formulae converted to c like code. ::
  13
  14 This equation was discovered by French astronomer Michel Hénon while studying the orbits of stars in globular clusters.
  15
  16 classmethods::
  17 method:: ar
  18 argument:: freq
  19 Iteration frequency in Hertz
  20 argument:: a
  21 Equation variable
  22 argument:: b
  23 Equation variable
  24 argument:: x0
  25 Initial value of x
  26 argument:: x1
  27 Second value of x
  28
  29 examples::
  30 code::
  31 // default initial params
  32 { HenonN.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }.play(s);
  33
  34 // mouse-control of params
  35 { HenonN.ar(SampleRate.ir/4, MouseX.kr(1,1.4), MouseY.kr(0,0.3)) * 0.2 }.play(s);
  36
  37 // randomly modulate params
  38 (
  39 { HenonN.ar(
  40         SampleRate.ir/8,
  41         LFNoise2.kr(1, 0.2, 1.2),
  42         LFNoise2.kr(1, 0.15, 0.15)
  43 ) * 0.2 }.play(s);
  44 )
  45
  46 // as a frequency control
  47 { SinOsc.ar(HenonN.ar(40, MouseX.kr(1,1.4), MouseY.kr(0,0.3))*800+900)*0.4 }.play(s);
  48 ::