  In this paper we study the cosmological dynamics of Randall-Sundrum
braneworld type scenarios in which the five-dimensional Weyl tensor has a
non-vanishing projection onto the three-brane where matter fields are confined.
Using dynamical systems techniques, we study how the state space of
Friedmann-Lemaitre-Robertson-Walker (FLRW) and Bianchi type I scalar field
models with an exponential potential is affected by the bulk Weyl tensor,
focusing on the differences that appear with respect to standard general
relativity and also Randall-Sundrum cosmological scenarios without the Weyl
tensor contribution.
