HenonL hénon map chaotic generator

HenonL.ar(freq, a, b, x0, x1, mul, add)

freq - iteration frequency in Hertz

a, b - equation variables

x0 - initial value of x

x1 - second value of x

A linear-interpolating sound generator based on the difference equation:

x_n+2 = 1 - ax_n+1² + bx_n

This equation was discovered by French astronomer Michel Hénon while studying the orbits of stars

in globular clusters.

// default initial params

{ HenonL.ar(MouseX.kr(20, SampleRate.ir)) * 0.2 }.play(s);

// mouse-control of params

{ HenonL.ar(SampleRate.ir/4, MouseX.kr(1,1.4), MouseY.kr(0,0.3)) * 0.2 }.play(s);

// randomly modulate params

(

{ HenonL.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(HenonL.ar(40, MouseX.kr(1,1.4), MouseY.kr(0,0.3))*800+900)*0.4 }.play(s);