XII
7232/2*,$
(
',1Æ0,&$
6\PEROLFEOHQGHUKRUVHVKRHVDQGUREXVW
KHWHURGLPHQVLRQDOF\FOHV
EXPOSITOR: Pablo Barrientos
• PUC - Rio
• E.mail: [email protected]
DATA: 28/setembro/2012 (sexta-feira)
HORA: 16 : 00 h
LOCAL: Sala de Seminário - 7o andar
RESUMO:
We present one-parametric arcs of partially hyperbolic diffeomorphisms defined as skew-product
modeled over horseshoes which have C 1 -robust heterodimensional cycles of arbitrarily co-index.
That is, a robust under C 1 -perturbations cyclical heteroclinic connection between the invariant
manifolds of two transitive hyperbolic sets of different stability indexes. Blenders with arbitrarily
large central dimension are introduced as a local plug to ensure the robustness of the cycles. This
is done by means of symbolic blender-horseshoes which are locally maximal invariant sets of skewproducts over the Bernoulli shift. This kind of systems can be studied in terms of an iteration
function system generated by contractions φ1 , . . . , φk with the covering property, i.e. there is an
open and bounded set B such that
B ⊂ φ1 (B) ∪ . . . ∪ φk (B).
UFF - Instituto de Matemática e Estatística
Coordenação de Pós-Graduação, 7o andar
Rua Mário Santos Braga s/n
24020 -140 Niterói, RJ
E. mail: [email protected]
Tels: (21) 26.29.21.11
Fax: (21) 26.29.21.13