LorenzL lorenz chaotic generator

LorenzL.ar(freq, s, r, b, h, xi, yi, zi, mul, add)

freq - iteration frequency in Hertz

s, r, b - equation variables

h - integration time step

xi - initial value of x

yi - initial value of y

zi - initial value of z

A strange attractor discovered by Edward N. Lorenz while studying mathematical models of the atmosphere.

The system is composed of three ordinary differential equations:

x' = s(y - x)

y' = x(r - z) - y

z' = xy - bz

The time step amount h determines the rate at which the ODE is evaluated.  Higher values will increase the

rate, but cause more instability.  A safe choice is the default amount of 0.05.

// vary frequency

{ LorenzL.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }.play(s);

// randomly modulate params

(

{ LorenzL.ar(

SampleRate.ir, 

LFNoise0.kr(1, 2, 10), 

LFNoise0.kr(1, 20, 38),

LFNoise0.kr(1, 1.5, 2)

) * 0.2 }.play(s);

)

// as a frequency control

{ SinOsc.ar(Lag.ar(LorenzL.ar(MouseX.kr(1, 200)),3e-3)*800+900)*0.4 }.play(s);