Abstract:

We study a non-concave model on the cartesian product of the full shift of two elements with a closed interval and we prove that there is fibre-wise contraction. For the case of the two-sided shift we show the existence of strange non-chaotic attractors. We also study the invariant measures of the system in the case on the one-sided and the two-sided shifts.

Work in progress in collaboration with M. Misiurewicz.