GingerBread_Man iterated chaotic map with parameters. Attractor explorer.

This is the Gingerbreadman map with parameters to explore variations over the original attractor.
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Mise à jour 23 oct. 2012

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

The gingerbreadman map is given by the trnasformation:

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.

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):


Example (2):

We can take frames and create a movie showing the evolution

for i=1:1500


I uploaded that movie to youtube:

[1] Loren on the Art of MATLAB, "Pretty 2-Dimensional Chaotic Maps",

[2] Wikipedia, "Gingerbread Map",

[3] Adam Wachsman "Gingerbreadman chaotic 2D map",

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


Citation pour cette source

Héctor Corte (2024). GingerBread_Man iterated chaotic map with parameters. Attractor explorer. (, MATLAB Central File Exchange. Récupéré le .

Compatibilité avec les versions de MATLAB
Créé avec R2010a
Compatible avec toutes les versions
Plateformes compatibles
Windows macOS Linux
En savoir plus sur Mapping Toolbox dans Help Center et MATLAB Answers

Inspiré par : Gingerbreadman chaotic 2D map

A inspiré : gingerbreadman


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