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GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

version 1.1 (2.21 KB) by

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

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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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Comments and Ratings (1)

fascinating.

Updates

1.1

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

MATLAB Release
MATLAB 7.10 (R2010a)
Acknowledgements

Inspired by: Gingerbreadman chaotic 2D map

Inspired: gingerbreadman

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