Lipschitz stratification of complex hypersurfaces in codimension 2

We show that the Zariski canonical stratification of complex hypersurfaces is locally bi-Lipschitz trivial along strata codimension two. More precisely, we study equisingular families surface, not necessarily isolated, singularities in ${\\mathbb{C}^3}$. a natural such family, given by singular set and generic family polar curves, provides Lipschitz sense Mostowski. In particular are trivial, with trivializations obtained integrating vector fields.