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GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

by

 

28 Jan 2012 (Updated )

This is the Gingerbreadman map with parameters to explore variations over the original attractor.

| Watch this File

File Information
Description

ginger Is a function for plot gingerBread map [1] [2] [3].

The gingerbreadman map is given by the trnasformation:

        (1)
  x(i) = 1 - a*y(i-1) + b*abs(x(i-1));
  y(i) =x(i-1);
                    
In original form a=1 and b=1. here we can change these parameters to explore diferent atractors.
 
 INPUTS:
       a = This is the a parameter on ecuation (1)
       b = This is the b parameter on ecuation (1)
       numiterations = This set the number of iterations of ecuation (1)
       

 Example (1):

   ginger(1.40,1,10000)

 Example (2):

   We can take frames and create a movie showing the evolution
   
  for i=1:1500
    ginger(2*(i-1)/1500,1,2000)
    axis([-20,20,-20,20])
    M(i)=getframe(gcf)
  end
 
  movie(M)

I uploaded that movie to youtube:
http://www.youtube.com/watch?v=5k18BuEES34

  References:
  [1] Loren on the Art of MATLAB, "Pretty 2-Dimensional Chaotic Maps",
      http://blogs.mathworks.com/loren/2011/12/07/pretty-2-dimensional-cha
      otic-maps/

  [2] Wikipedia, "Gingerbread Map",
      http://en.wikipedia.org/wiki/Gingerbreadman_map

  [3] Adam Wachsman "Gingerbreadman chaotic 2D map",
      http://www.mathworks.com/matlabcentral/fileexchange/34116

This function was written by :
Héctor Corte
B.Sc. in physics 2010
Battery Research Laboratory
University of Oviedo
Department of Electrical, Computer, and Systems Engineering
Campus de Viesques, Edificio Departamental 3 - Office 3.2.05
PC: 33204, Gijón (Spain)
Phone: (+34) 985 182 559
Fax: (+34) 985 182 138
Email: cortehector@uniovi.es

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Acknowledgements

Gingerbreadman Chaotic 2 D Map inspired this file.

MATLAB release MATLAB 7.10 (R2010a)
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Updates
23 Oct 2012

Just change in name to make it more exact and to people looking for it more simple to find it.

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