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D.15.1.31 determineArnoldType
Procedure from library arnold.lib (see arnold_lib).
- Usage:
- determineArnoldType(N); N NormalForm which was created using @ref(determineNormalForm), with the field N.modality<=2
- Return:
- a NormalForm N in which the Arnold classification of N.phi.sourcegerm is stored in N.ArnoldType
Example:
| | LIB "arnold.lib";
ring R=0,(x,y),ds;
poly g = x^4+2*x^2*y^2+y^4+x^(10)+y^(10);
poly phix = x+y^2+x^2+x*y+x^2*y+x*y^3;
poly phiy = y+y^2+2*x^2+x*y+y*x^2+y^2*x+x*y^4;
map phi = R,phix,phiy;
g=phi(g);
Poly F = makePoly(g);
NormalForm N;
N = determineNormalForm(F);
N = determineArnoldType(N);
N.ArnoldType;
==> Y[16,16]
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