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A type of singularity of differentiable mappings (cf. [[Singularities of differentiable mappings| An edge of regression is also called a cuspidal edge. It is the stable [[Caustic|caustic]] of type $A_3$, see [[#References

...elope with one of the surfaces of the family is called a characteristic. A cuspidal edge on the envelope in turn is usually the envelope of the characteristics ...he theory of singularities of differentiable mappings as a special form of singularity of a family.

A ''singularity'' (or ''singularity type'') of a local dynamical system is a subspace of germs defined by finit * Cuspidal germs of vector fields on $(\RR^2,0)$ with the nilpotent linearization matr

...ng theory is known by the name [[Singularities of differentiable mappings|Singularity theory]] of differential maps, or the [[Catastrophe theory]]. ...nd the normal form is linear, for $\mu>1$ nonlinear. The list of [[simple singularity|simple]] normal forms for holomorphic curves $f:(\CC,0)\to(\CC^2,0)$ consi