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CLASS:: RosslerL
summary:: Rossler chaotic generator
categories:: UGens>Generators>Chaotic
DESCRIPTION::
A strange attractor discovered by Otto Rossler based on work in chemical kinetics.
The system is composed of three ordinary differential equations:
x' = - y - z
y' = x + ay
z' = b + z(x - c)
The time step amounthdetermines 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:: in
argument:: freq
iteration frequency in Hertz
argument::a, b, c
equation variables
argument::h
integration time step
argument::xi
initial value of x
argument::yi
initial value of y
argument::zi
initial value of z
EXAMPLES::
These first examples treat RosslerL as a single-output UGen (i.e. using x only):
code::
// vary frequency - these parameters are for "one-pulse" orbit
{ RosslerL.ar(MouseX.kr(20, SampleRate.ir), 0.36, 0.35, 4.5) * 0.3 }.play(s);
// randomly modulate params
(
{ RosslerL.ar(
SampleRate.ir,
0.2, // First variable tends to lead to NaN if modulated in this example
LFNoise0.kr(1, 0.01, 0.2),
LFNoise0.kr(1, 0.2, 0.7)
) * 0.2 }.play(s);
)
// as a frequency control
{ SinOsc.ar(Lag.ar(RosslerL.ar(MouseX.kr(1, 200)))*800+900)*0.4 }.play(s);
::
An example utilising the three different outputs as pitch, PWM and pan values (respectively):
code::
(
{
# x,y,z = RosslerL.ar(MouseX.kr(1, 200));
Pan2.ar(Pulse.ar(x.range(100,1000), y.range(0,1), 0.3), z)
}.play(s)
)
::
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