?? init_ho_ho.asv
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function [x,v] = init_HO_HO(mapfile, C, p,ap,J)
global homds cds
%
[n1,n2]=size(C);% X=[x1,..., xn2], xi,i=1,...,n2 are mesh points
homds.nphase=n1;
homds.npoints=n2;
homds.niteration=J;
homds.sizep = size(p,1);
% initialize homds
func_handles = feval(mapfile);
symord = 1;
symordp = 0;
%
cds.curve = @homoclinic;
cds.symhess = 0;%1
cds.symjac = 1;%1
curvehandles = feval(cds.curve);
cds.curve_func = curvehandles{1};
cds.curve_options = curvehandles{3};
cds.curve_jacobian = curvehandles{4};%
%cds.curve_hessians = curvehandles{5};
%cds.curve_testf = curvehandles{6};
cds.options = feval(cds.curve_options);
cds.options = contset(cds.options,'Increment',1e-5);
%
if ~isempty(func_handles{9}), symord = 5;
elseif ~isempty(func_handles{8}), symord = 4;
elseif ~isempty(func_handles{7}), symord = 3;
elseif ~isempty(func_handles{5}), symord = 2;
elseif ~isempty(func_handles{3}), symord = 1;
end
if ~isempty(func_handles{6}), symordp = 2;
elseif ~isempty(func_handles{4}), symordp = 1;
end
if isempty(cds)
cds.options = contset();
end
cds.options = contset(cds.options, 'SymDerivative', symord);
cds.options = contset(cds.options, 'SymDerivativeP', symordp);
homds.mapfile = mapfile;
homds.func = func_handles{2};
homds.Jacobian = func_handles{3};
homds.JacobianP = func_handles{4};
homds.Hessians = func_handles{5};
homds.HessiansP = func_handles{6};
homds.Der3 = func_handles{7};
homds.Der4 = func_handles{8};
homds.Der5 = func_handles{9};
%
siz = size(func_handles,2);
if siz > 9
j=1;
for k=10:siz
homds.user{j}= func_handles{k};
j=j+1;
end
else homds.user=[];end
%homds.nphase = oldhomds.nphase;
% homds.x0 = oldhomds.x0;
%homds.x0 = x(oldhomds.ncoords+1:oldhomds.ncoords+oldhomds.nphase);
homds.ActiveParams = ap;
homds.P0 = p;
%
x0=C(:,1); % x0 and x1 are fixed points %x1=C(:,end);
A0 = homjac(x0,num2cell(p),J);
D0 = eig(A0);
%homds.nu is dimension of the unstable invariant space corresponds to D0
homds.nu= sum(abs(D0)>1);
homds.ns =homds.nphase- homds.nu;
% YS and YU, initialized to 0
x=x0;
for i=2:homds.npoints
x(end+1:end+homds.nphase,1)=C(:,i);
end
x,pause
size(x),pause
homds.YU=zeros(homds.nphase-homds.nu,homds.nu);
for i=1:homds.nu
x=[x;zeros(homds.nphase-homds.nu,1)];
end
%
homds.YS=zeros(homds.nphase-homds.ns,homds.ns);
for i=1:homds.ns
x=[x;zeros(homds.nphase-homds.ns,1)];
end
x(end+1,1)=p(ap); %x=(x1,..,xN,YU,YS,ap)^T
v = [];
cds.ndim = length(x);
% ASSIGN SOME VALUES TO HETEROCLINIC FIELDS
% ---------------------------------------
% Third parameter = unstable_flag,
% 1 if we want the unstable space, 0 if we want the stable one
[QU, eigvlU, dimU] = computeBase(A0,1,homds.nu);
[QS, eigvlS, dimS] = computeBase(A0,0,homds.ns);
homds.Q0 = QU;
homds.Q1 = QS;
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