Computing normalizing transformations

H. Broer, I. Hoveijn, G. Lunter, G. Vegter


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Given a singularity and a versal deformation of it, an arbitrary deformation can be induced from the versal one by a smooth transformation of coordinates and parameters. An algorithm was developed to compute this transformation, for deformations of functions. It requires a procedure to solve the infinitesimal stability equation, which is provided by the normal form map NFΨ related to a standard ideal basis (see Chap. 6). A similar approach works for the case of deformations of maps, involving left-right tangent spaces instead of ideals.
Originele taal-2English
UitgeverijUniversity of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Aantal pagina's19
StatusPublished - 2003

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