Singularities (Mathematics) Differentiable mappings 6 Manifolds (Mathematics) 5 Differential equations, Hyperbolic 4 Mappings (Mathematics) 4 Numerical solutions 4 Pseudodifferential operators 4 Bifurcation theory 3 Differential equations, Partial 3 Geometry, Algebraic 3 Differential equations 2 Hypersurfaces 2 Lie groups 2 Microlocal analysis 2 Vector bundles 2 Vector fields 2 Algorithms 1 Boundary value problems 1 Chaotic behavior in systems 1 Characteristic functions 1 Commutative rings 1 Curves 1 Curves, Algebraic 1 Curves, Plane 1 Deformations of singularities 1 Differentiable manifolds 1 Differential equations, Elliptic 1 Differential equations, Nonlinear 1 Differential topology 1 Dynkin diagrams 1