Singularités de bord : dualité, formules de Picard Lefschetz relatives et diagrammes de Dynkin
Singularités des fonctions de Green hypoelliptiques
Singularités d'ordre supérieur de 1-formes, 2-formes et équations de Pfaff
Singularités non dégénérées des systèmes de Gauss-Manin réticulés
Singularities and duality in the flat geometry of submanifolds of Euclidean spaces.
Singularities and normal forms of generic 2-distributions on 3-manifolds
We give a complete classification of germs of generic 2-distributions on 3-manifolds. By a 2-distribution we mean either a module generated by two vector fields (at singular points its dimension decreases) or a Pfaff equation, i.e. a module generated by a differential 1-form (at singular points the dimension of its kernel increases).
Singularities and normal forms of smooth distributions
In this expository paper we present main results (from classical to recent) on local classification of smooth distributions.
Singularities, defects and chaos in organized fluids
The singularities occurring in any sort of ordering are known in physics as defects. In an organized fluid defects may occur both at microscopic (molecular) and at macroscopic scales when hydrodynamic ordered structures are developed. Such a fluid system serves as a model for the study of the evolution towards a strong disorder (chaos) and it is found that the singularities play an important role in the nature of the chaos. Moreover both types of defects become coupled at the onset of turbulence....
Singularities of convex hulls as fronts of Legendre varieties
We describe singularities of the convex hull of a generic compact smooth hypersurface in four-dimensional affine space up to diffeomorphism. It turns out that the boundary of the convex hull is the front of a Legendre variety. Its singularities are classified up to contact diffeomorphism.
Singularities of envelopes of families of submanifolds in
Singularities of implicit differential systems and maximum principle
The integrability condition for the Lagrangian implicit differential systems of (TP,ω̇), introduced in [7], is applied for the specialized control theory systems. The Pontryagin maximum principle was reformulated in the framework of implicit differential systems and the corresponding necessary and sufficient conditions were proved. The beginning of the classification list of normal forms for Lagrangian implicit differential systems according to the symplectic equivalence is provided and the corresponding...
Singularities of implicit differential systems and their integrability
Singularities of k-tuples of vector fields [Book]
Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space
In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
Singularities of optimal averaged profit for stationary strategies.
Singularities of the Gauss map and the binormal surface.
Singularities of the maximum function over a preimage
Singularities of the scattering kernel for trapping obstacles
Singularities of Transmission Problems.
Singularities of Vector Fields on the Plane With Pointed Direction.