Matemática e Estatística | Capítulos/artigos em livros internacionais / Book chapters/papers in international books
Permanent URI for this collection
Browse
Browsing Matemática e Estatística | Capítulos/artigos em livros internacionais / Book chapters/papers in international books by Author "Bessa, Mário"
Now showing 1 - 3 of 3
Results Per Page
Sort Options
- Area-preserving diffeomorphisms from the C1-StandpointPublication . Bessa, MárioMore than thirty years have passed since Newhouse (Am. J. Math. 99:1061–1087, 1977) published a dichotomy on C1 area-preserving diffeomorphisms. Here we revisit some central results on surface conservative C1-diffeomorphisms by presenting, in particular, a new proof of Newhouse’s theorem and also by proving some, although folklore, not yet proved results on this setting. We intend that this exposition can be used by a large audience as an introduction to the concept of dominated splitting and its relevance to the theory of C1-stability of area-preserving diffeomorphisms.
- Generic hamiltonian dynamical systems: an overviewPublication . Bessa, Mário; Dias, João LopesWe present for a general audience the state of the art on the generic properties of C 2 Hamiltonian dynamical systems.
- Global dynamics of generic 3-flowsPublication . Araújo, Vítor; Bessa, Mário; Pacífico, Maria JoséIn this chapter we present some results from the generic viewpoint, either for C 1 flows on 3-manifolds, or for C1 conservative flows on 3-manifolds. This means that we present some properties satisfied by a generic subset of all vector fields in compact 3-manifolds in the C1 topology.