Abstract (EN):
We prove the following dichotomy for vector fields in a C-1- residual subset of volume- preserving flows: for Lebesgue- almost every point, either all of its Lyapunov exponents are equal to zero or its orbit has a dominated splitting. Moreover, we prove that a volume- preserving and C-1- stably ergodic flow can be C-1- approximated by another volume- preserving flow which is non- uniformly hyperbolic.
Idioma:
Inglês
Tipo (Avaliação Docente):
Científica
Contacto:
bessa@fc.up.pt; jrocha@fc.up.pt
Nº de páginas:
23