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