The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
The Art and Science of Symmetric Design
The Poincaré-Bendixson theorem and arational foliations on the sphere
Foliations on the 2-sphere with a finite number of non-orientable singularities are considered. For this class a Poincaré-Bendixson theorem is established. In particular, the work gives an answer to a problem of H. Rosenberg concerning labyrinths.
The second-order quadratic family.
The ?-Stability Theorem for Flows.
Time Dependent Stable Diffeomorphisms.
Topological stability theorem for composite mappings
We prove that generic convergent diagrams of proper smooth mappings are topologically stable. In proving global properties of diagrams we propose a generalization of the concept of singularity for diagrams, and we establish the geometry of composite mappings.
Travaux de Moser sur la stabilité des mouvements périodiques
Two remarks about the connection of Jacobi and Neumann integrable systems.