Abstract
Applications of elementary catastrophe theory often require the determination of right-equivalence transformations which reduce unfoldings of singularities to their associated normal forms. In general these transformations can only be found approximately, such as in the form of truncated Taylor series. It is shown that the reduction to normal form of an unfolding, to a given finite degree in the control variables, is determined by a finite subset of terms in its multivariate Taylor expansion. An algorithm to construct the transformation that effects the reduction to normal form of an unfolding is presented.
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