ROBUST TRANSITIVE SETS OF TRIANGULAR MAPS

Claudio Vidal | Carrasco-Olivera, Dante | San Martín, Bernardo

Keywords: Robust transitive sets; Triangular maps; Periodic orbits.

In [BM] it was proved that discontinuous triangular maps with specific expanding hypotheses carry hyperbolic periodic orbits. Here we define a class of discontinuous triangular maps with contracting hypotheses and prove that they carry robustly transitivity sets with respect to a suitable weight topology.

Anexos:

• trian-map.pdf