Code covered by the BSD License

### Highlights from GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

Be the first to rate this file! 11 Downloads (last 30 days) File Size: 2.21 KB File ID: #34820 Version: 1.1

# GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

### Héctor Corte (view profile)

28 Jan 2012 (Updated )

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

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)

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/

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Acknowledgements

Gingerbreadman Chaotic 2 D Map inspired this file.

MATLAB release MATLAB 7.10 (R2010a)