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Three-dimensional conservative star flows are Anosov
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Autores
Orientador(es)
Resumo(s)
A divergence-free vector field satisfies the star property if any divergence-free vector field in some C1-neighborhood has all the singularities and all closed orbits hyperbolic. In this article we prove that any divergence- free star vector field defined in a closed three-dimensional manifold is Anosov. Moreover, we prove that a C1-structurally stable three-dimensional conserva- tive flow is Anosov.
Descrição
Palavras-chave
Divergence-free vector fields Anosov flows Dominated splitting
Contexto Educativo
Citação
M. Bessa, J. Rocha, Three-dimensional conservative star flows are Anosov. Discrete and Continuous Dynamical Systems - A, 26, 3, 839-846, 2010
Editora
AIMS