LorenzL:
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LorenzL : ChaosGen : UGen : AbstractFunction : Object

Lorenz chaotic generator
Source: Chaos.sc

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:

    x' = s * (y - x)
    y' = x * (r - z) - y
    z' = x * y - b * z

The time step amount 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.

Class Methods

LorenzL.ar(freq: 22050, s: 10, r: 28, b: 2.667, h: 0.05, xi: 0.1, yi: 0, zi: 0, mul: 1.0, add: 0.0)

Arguments:

freq

Iteration frequency in Hertz

s

Equation variable

r

Equation variable

b

Equation variable

h

Integration time step

xi

Initial value of x

yi

Initial value of y

zi

Initial value of z

mul
add

Inherited class methods

Undocumented class methods

LorenzL.equation

Instance Methods

Inherited instance methods

Examples