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from Bifurcation diagram for the three-variable autocatalator by Housam Binous
Computes the bifurcation diagram for the three-variable autocatalator

xdot=autocatalator(t,x)
% Author: Housam Binous

% Three variable autocatalator

% National Institute of Applied Sciences and Technology, Tunis, TUNISIA

% Email: binoushousam@yahoo.com

function xdot=autocatalator(t,x)

global nu

kappa=10;
delta=2e-2;
sigma=5e-3;

xdot(1)=kappa+nu*x(3)-x(1)*x(2)^2-x(1);
xdot(2)=(x(1)*x(2)^2+x(1)-x(2))/sigma;
xdot(3)=(x(2)-x(3))/delta;

xdot=xdot';

end

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