1 research outputs found
A numerical study of Gibbs -measures for partially hyperbolic diffeomorphisms on
We consider a hyperbolic automorphism of
the 3-torus whose 2-dimensional unstable distribution splits into weak and
strong unstable subbundles. We unfold into two one-parameter families of
Anosov diffeomorphisms --- a conservative family and a dissipative one. For
diffeomorphisms in these families we numerically calculate the strong unstable
manifold of the fixed point. Our calculations strongly suggest that the strong
unstable manifold is dense in . Further, we calculate
push-forwards of the Lebesgue measure on a local strong unstable manifold.
These numeric data indicate that the sequence of push-forwards converges to the
SRB measure.Comment: 12 pages, 12 figure