Desingularization of nilpotent singularities in families of planar vector fields

Bibliographic Information

Desingularization of nilpotent singularities in families of planar vector fields

Daniel Panazzolo

(Memoirs of the American Mathematical Society, no. 753)

American Mathematical Society, 2002

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Note

"July 2002, volume 158, number 753 (end of volume)"

Includes bibliography (p. 107-108)

Description and Table of Contents

Description

This work aims to prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of singular perturbations and finite cyclicity are discussed in the last chapter.

Table of Contents

Introduction Background material Nilpotent families and trivialization Desingularization of Nilpotent singularities The proof of the desingularization theorem Applications Bibliography.

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