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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]=rtmapBC1(varargin)
function [Xr,varargout]=rtmapBC1(varargin)
u=4;v=0.375;a=1.000;w=50;vphi=54.927;
if nargin==1
    X0=varargin{1};
else
    X0=[0.1;0.5];
end
x=X0(2);phi=X0(1);
phib=phi+vphi-w*log(abs(x));
Xr=[
    -0.5*pi+sign(x)*(0.5*pi+a*abs(x)^v*cos(phib));
    u*sign(x)-a*abs(x)^v*sin(phib);
    ];
if nargout>1
    varargout{1}=1;
    varargout{2}=Xr;
end
end

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