LatoocarfianN:
Filter:
Classes | UGens > Generators > Chaotic

LatoocarfianN : ChaosGen : UGen : AbstractFunction : Object

Latoocarfian chaotic generator
Source: Chaos.sc

Description

A non-interpolating sound generator based on a function given in Clifford Pickover's book Chaos In Wonderland, pg 26. The function is:

        x(n+1) = sin(b * y(n)) + c * sin(b * x(n))
        y(n+1) = sin(a * x(n)) + d * sin(a * y(n))

According to Pickover, parameters a and b should be in the range from -3 to +3, and parameters c and d should be in the range from 0.5 to 1.5. The function can, depending on the parameters given, give continuous chaotic output, converge to a single value (silence) or oscillate in a cycle (tone).

sclang code translation:

NOTE: This UGen is experimental and not optimized currently, so is rather hoggish of CPU.

Class Methods

LatoocarfianN.ar(freq: 22050, a: 1, b: 3, c: 0.5, d: 0.5, xi: 0.5, yi: 0.5, mul: 1.0, add: 0.0)

Arguments:

freq

Iteration frequency in Hertz

a

Equation variable

b

Equation variable

c

Equation variable

d

Equation variable

xi

Initial value of x

yi

Initial value of y

mul
add

Inherited class methods

Undocumented class methods

LatoocarfianN.equation

Instance Methods

Inherited instance methods

Examples