M. Viana
Multidimensional nonhyperbolic attractors
(100K, LaTeX)

ABSTRACT.  We construct smooth transformations and diffeomorphisms exhibiting
non\-uniformly hyperbolic attractors with multidimensional sensitiveness
on initial conditions: typical orbits in the basin of attraction have several
expanding directions.
These systems also illustrate a new robust mechanism of sensitive dynamics:
despite the nonuniform character of the expansion, the attractor persists
in a full neighbourhood of the initial map.