?? bvp_het.asv
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function f = BVP_Het(x,YS,YU,eps0,p)
global hetds
% extract ups, [x0,x1,...,xn]
ups = reshape(x,hetds.nphase,hetds.npoints);
p = num2cell(p);
% -----------
% Fixed points condition
J=hetds.niteration;
x0=ups(:,1);
xx=x0;
for i=1:J
xx=feval(hetds.func,0,xx,p{:}); %f^i(x0)-x0
end
f(1:hetds.nphase,1)=xx-x0;
for i=2:hetds.npoints-2
xx=ups(:,i);
for k=1:J
xx=feval(hetds.func,0,xx,p{:});
end
f(end+1:end+hetds.nphase,1)=xx-ups(:,i+1);%f^i(xi)-xi+1
end
x1=ups(:,end);xx=x1;
for i=1:J
xx=feval(hetds.func,0,xx,p{:});
end
f(end+1:end+hetds.nphase,1)=xx-x1;%f^i(x1)-x1
% -----------
% Ricatti equations
%size(f),
f(end+1:end+hetds.nu,1) = RicattiEval(x0,p,1,YU);
f(end+1:end+hetds.ns,1) = RicattiEval(x1,p,0,YS);
%size(f),pause
% -----------
% Last and first vectors along stable and unstable eigenspaces
Q0U = hetds.Q0;
Q1S = hetds.Q1;
if hetds.nu
Q1U = Q0U * [-YU'; eye(size(YU,1))];
for i=1:hetds.nu
f(end+1:end+i,1) = (ups(:,2) - ups(:,1))' * Q1U(:,end-i+1);
end
end
if hetds.ns
Q1S = Q1S * [-YS'; eye(size(YS,1))];
for i=1:hetds.ns
f(end+1:end+i,1) = (ups(:,end-1) - ups(:,end))' * Q1S(:,end-i+1);
end
end
% -----------
% Distances from endpoints to fixed points equal to epsilons
eps1=hetds.eps1;
f(end+1,1) = norm(ups(:,2) - x0)-eps0;
f(end+1,1) = norm(ups(:,end-1) - x1)-eps1;
f,NF=norm(f),pause
%normf=norm(f),pause
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