Classification of Singularities and Bifurcations of Critical Points of Even Functions
Differential Geometry
2012-12-19 v1 Mathematical Physics
Dynamical Systems
math.MP
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).
Keywords
Cite
@article{arxiv.1212.4302,
title = {Classification of Singularities and Bifurcations of Critical Points of Even Functions},
author = {E. A. Kudryavtseva and E. Lakshtanov},
journal= {arXiv preprint arXiv:1212.4302},
year = {2012}
}