SpruceBudworm:
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SpruceBudworm
ExtensionExtension

Spruce bud worm model equations

//SLUGens released under the GNU GPL as extensions for SuperCollider 3, by Nick Collins, http://composerprogrammer.com/index.html 

Description

One of a number found in A Brief History of Oscillators and Hair Styles of European Men AASU Math/CS Colloquium, April 2002.

Euler ODE solver implementation of a model of foliage and budworm density in Canadian forests ( a logistic model + predation).

x' = k1 x (1-x) - mu*y y' = k2 *y * (1 - (y/alpha*x)) - (rho * (y**2/(beta**2 * x**2 + y**2)))

All inputs can have .kr rate UGens plugged in.

Nonlinear oscillators can blow up, treat with caution.

Class Methods

.ar

Arguments:

reset

If > 0.0, restart with new initial conditions sampled from initx, inity

rate

update rate for a sample step

k1

equation constant

k2

equation constant

alpha

equation constant

beta

equation constant

mu

equation constant

rho

equation constant

initx

reset value for x

inity

reset value for y

Examples