Ordinarily in the consideration of all possible singularities the principal interest focusses on the generic case, since all the more complicated singularities may be got rid of by a small perturbation. For example, a generic function has only nondegenerate critical points; degenerate critical points, like the critical point of the function x3, decompose into nondegenerate ones under a suitable small deformation, for example x3 - εX.
KeywordsNormal Form Tangent Space Phase Curve Versal Deformation Jordan Normal Form
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