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A toolbox for finding horseshoes in 2D maps

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24 Feb 2007 (Updated )

This GUI programe presents an efficient method for finding topological horseshoes in chaotic systems

[xr,varargout]=rtmap_Iketa(varargin)
function [xr,varargout]=rtmap_Iketa(varargin)
p=1;beta=0.9;k=0.4;alpha=6;
if nargin==1
    x=varargin{1};
else
    x=[0.1;0.5];
end
t=k-alpha/(1+x(1)^2+x(2)^2);
xr=[p+beta*(x(1)*cos(t)-x(2)*sin(t));beta*(x(1)*sin(t)+x(2)*cos(t))];
if nargout>1
    varargout{1}=1;
    varargout{2}=xr;
end
end

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