58 lines
1.2 KiB
Text
58 lines
1.2 KiB
Text
class:: LorenzL
|
|
summary:: Lorenz chaotic generator
|
|
categories:: UGens>Generators>Chaotic
|
|
|
|
description::
|
|
A strange attractor discovered by Edward N. Lorenz while studying mathematical models of the atmosphere. The system is composed of three ordinary differential equations:
|
|
|
|
teletype::
|
|
x' = s * (y - x)
|
|
y' = x * (r - z) - y
|
|
z' = x * y - b * z
|
|
::
|
|
|
|
The time step amount code::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.
|
|
|
|
classmethods::
|
|
method:: ar
|
|
argument:: freq
|
|
Iteration frequency in Hertz
|
|
argument:: s
|
|
Equation variable
|
|
argument:: r
|
|
Equation variable
|
|
argument:: b
|
|
Equation variable
|
|
argument:: h
|
|
Integration time step
|
|
argument:: xi
|
|
Initial value of x
|
|
argument:: yi
|
|
Initial value of y
|
|
argument:: zi
|
|
Initial value of z
|
|
argument:: mul
|
|
argument:: add
|
|
|
|
examples::
|
|
code::
|
|
// vary frequency
|
|
{ LorenzL.ar(MouseX.kr(20, SampleRate.ir)) * 0.3 }.play(s);
|
|
::
|
|
|
|
code::
|
|
// 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);
|
|
)
|
|
::
|
|
|
|
code::
|
|
// as a frequency control
|
|
{ SinOsc.ar(Lag.ar(LorenzL.ar(MouseX.kr(1, 200)),3e-3)*800+900)*0.4 }.play(s);
|
|
::
|