Amaro, DinisBessa, MárioVilarinho, Helder2024-11-082024-11-0820240022-0396http://hdl.handle.net/10400.2/16744We consider a probability space M on which an ergodic flow is defined. We study a family of continuous-time linear cocycles, referred to as kinetic, that are associated with solutions of the second-order linear homogeneous differential equation . Our main result states that for a generic subset of kinetic continuous-time linear cocycles, where generic means a Baire second category with respect to an -like topology on the infinitesimal generator, the Lyapunov spectrum is trivial.engKinetic cocyclesLinear cocyclesLinear differential systemsMultiplicative ergodic theoremLyapunov exponentsRandom dynamical systemsGenericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equationsjournal article10.1016/j.jde.2023.10.033