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In this paper we deal with the cosmological dynamics of Randall-Sundrum brane-world type scenarios in which the five-dimensional Weyl tensor has a nonvanishing projection onto the three-brane, where matter fields are confined. Using dynamical systems techniques, we study how the state space of Friedmann-Lema\^tre-Robertson-Walker and Bianchi type I cosmological models is affected by the bulk Weyl tensor, focusing on the differences that appear with respect to general relativity and also Randall-Sundrum cosmological scenarios without the Weyl tensor contribution.
Campos et al. (Wed,) studied this question.