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' = x * y - b * z
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.
| freq |
Iteration frequency in Hertz |
| s |
Equation variable |
| r |
Equation variable |
| b |
Equation variable |
| h |
Integration time step |
| xi |
Initial value of x |
| yi |
Initial value of y |
| zi |
Initial value of z |
| mul | |
| add |
// vary frequency{ LorenzL.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }.play(s);xxxxxxxxxx// 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);)xxxxxxxxxx// as a frequency control{ SinOsc.ar(Lag.ar(LorenzL.ar(MouseX.kr(1, 200)),3e-3)*800+900)*0.4 }.play(s);