function f=rhslyap(x,y) global b r sigma n=3; % Integrate phase point (y(1)=x, y(2)=y, y(3)=z) dydx(1)=sigma*(y(2)-y(1)); dydx(2)=r*y(1)-y(1)*y(3)-y(2); dydx(3)=y(1)*y(2)-b*y(3); % Integrate tangent vectors with Jacobian (first component myin, second % component myin+1, third component myin+2, for myin =4,7,10); % for Lorenz the Jacobian is |-sigma sigma 0| % | (r-z) -1 -x| % | y x -b| myin=n+1:n:n*(n+1); dydx(myin)=-sigma*y(myin)+sigma*y(myin+1); dydx(myin+1)=(r-y(3))*y(myin)-y(myin+1)-y(1)*y(myin+2); dydx(myin+2)=y(2)*y(myin)+y(1)*y(myin+1)-b*y(myin+2); f=dydx';