1212.4302 (E. A. Kudryavtseva et al.)

Classification of Singularities and Bifurcations of Critical Points of
Even Functions    [PDF]

E. A. Kudryavtseva, E. Lakshtanov

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).

View original: http://arxiv.org/abs/1212.4302