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arXiv · 1212.4302

Classification of Singularities and Bifurcations of Critical Points of Even Functions

E. A. Kudryavtseva·E. Lakshtanov
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Abstract

Singularities of even smooth functions are studied. A classification of singular points which appear in typical parametric families of even functions with at most five parameters is given. Bifurcations of singular points near a caustic value of the parameter are also studied. A determinant for singularity types and conditions for versal deformations are given in terms of partial derivatives (not requiring a preliminary reduction to a canonical form).

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BibTeXRIS

E. A. Kudryavtseva, E. Lakshtanov. 2012-12-18. Classification of Singularities and Bifurcations of Critical Points of Even Functions. https://arxiv.org/abs/1212.4302

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