GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

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

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: [phone]
Fax: [phone]
Email: [e-mail]

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