A carregar...
Publicação
Area-preserving diffeomorphisms from the C1-Standpoint
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 3.46 MB | Adobe PDF |
Autores
Orientador(es)
Resumo(s)
More 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.
Descrição
Palavras-chave
Periodic orbit Lyapunov exponent Periodic point Elliptic orbit Homoclinic point
Contexto Educativo
Citação
Bessa, M. (2011). Area-Preserving Diffeomorphisms from the C1-Standpoint. In: Peixoto, M., Pinto, A., Rand, D. (eds) Dynamics, Games and Science II. Springer Proceedings in Mathematics, vol 2. Springer, Berlin, Heidelberg
Editora
Springer, Berlin, Heidelberg