Bessa, Mário2023-05-262023-05-262008M. Bessa, Dynamics of Generic Multidimensional Linear Differential Systems, Advanced Nonlinear Studies, 8, 1, 191-211, 2008http://hdl.handle.net/10400.2/13860We prove that there exists a residual subset R (with respect to the C^0 topology) of d-dimensional linear differential systems based in a μ-invariant flow and with transition matrix evolving in GL(d, R) such that if A ∈ R, then, for μ-a.e. point, the Oseledets splitting along the orbit is dominated (uniform projective hyperbolicity) or else the Lyapunov spectrum is trivial. Moreover, in the conservative setting, we obtain the dichotomy: dominated splitting versus zero Lyapunov exponents.engLinear differential systemsDominated splittingLyapunov exponentsMultiplicative ergodic theoremjournal article10.1515/ans-2008-0107