ArneodoCoulletTresser | SuperCollider 3.13.0 Help

Description

UGen implementing 4th order Runge-Kutta approximation of a 3-species Predator-Prey model as specified by Arneodo Coullet and Tresser:x' = x * (1.1 - x / 2 - y / 2 - z / 10) y' = y * (-0.5 + x / 2 + y / 10 - z / 10) z' = z * (alpha + 0.2 - alpha * x - y / 10 - z / 10)

with alpha = Range(0, 2)

Implemented by Till Bovermann inspired by Gary William Flake's Book "The Computational Beauty of Nature". Implementation following on Lance Putnam's chaos UGens and MCLDs ChaosUGens.

http://tai-studio.org

Class Methods

.categories

.ar

Arguments:

freq	update frequency, best set to Nyquist frequency. To modulate tonal qualities, use `h`.
alpha	meta parameter (shoud be between 0 and 2)
h	step size for the approximation
xi	initial value for x, resets the UGen when changed
yi	initial value for y, resets the UGen when changed
zi	initial value for z, resets the UGen when changed
mul	multiply `withthis`
add	add `that`

.equation

returnsx' = x * (a - b * y) y' = y * (c * x - d)

Examples

helpfile source: source/ChaosUGens/sc/HelpSource/Classes/ArneodoCoulletTresser.schelp
link::sc3-plugins/Classes/ArneodoCoulletTresser::

ArneodoCoulletTresserExtension