index :: noise

noise.lyapunov

lyapunov random attractor

available since version: 0.5

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information

inspired by Paul Bourke, implementation by André Sier — lyapunov random attractors — Paul Bourke's words http://astronomy.swin.edu.au/%7Epbourke/fractals/lyapunov/ — On average 98% of the random selections of (an, bn) result in an infinite series. This is so common because of the range (-2<=a, b<=2) for each of the parameters a and b, the number of infinite cases will reduce greatly with a smaller range. About 1% were point attractors, and about 0.5% were periodic basins of attraction. === x[n+1] = a[0] + a[1]x[n] + a[2]x[n]^2 + a[3]x[n]y[n] + a[4]y[n] + a[5]y[n]^2 y[n+1] = b[0] + b[1]x[n] + b[2]x[n]^2 + b[3]x[n]y[n] + b[4]y[n] + b[5]y[n]^2 ===

arguments:

• A a value (optional)
  type: float
  

• B b value (optional)
  type: float
  

• X x value (optional)
  type: float
  

• Y y value (optional)
  type: float
  

methods:

• a
  parameters:

  • A0 a[0] value
    type: float
    required: True
    

  • [A1] a[1] value
    type: float
    

  • [A2] a[2] value
    type: float
    

  • [A3] a[3] value
    type: float
    

  • [A4] a[4] value
    type: float
    

  • [A5] a[5] value
    type: float
    

• b
  parameters:

  • B0 b[0] value
    type: float
    required: True
    

  • [B1] b[1] value
    type: float
    

  • [B2] b[2] value
    type: float
    

  • [B3] b[3] value
    type: float
    

  • [B4] b[4] value
    type: float
    

  • [B5] b[5] value
    type: float
    

• om
  parameters:
  • OM enables output when cut or fold value is changed
    type: int
    required: True
    

• reset reset state
  

• set
  parameters:
  • SET set to value
    type: float
    required: True
    
• x
  parameters:
  • NX x value
    type: float
    required: True
    
• y
  parameters:
  • NY y value
    type: float
    required: True
    

inlets:

• output value
  type: control

outlets:

• x outlet
  type: control
• y outlet
  type: control

keywords:

noise

Authors: André Sier

License: %