Amaro, DinisBessa, MárioVilarinho, Helder2024-11-082024-11-0820241021-9722http://hdl.handle.net/10400.2/16745In the present paper we prove that densely, with respect to an Lp-like topology, the Lyapunov exponents associated to linear continuous-time cocycles induced by second order linear homogeneous differential equations are almost everywhere distinct. The coefficients evolve along the orbit for an ergodic flow defined on a probability space. We also obtain the corresponding version for the frictionless equation and for a Schrödinger equation.engLinear cocyclesLinear differential systemsMultiplicative ergodic theoremLyapunov exponentsSecond order linear homogeneous differential equationsjournal article10.1007/s00030-024-00931-w