Barreira, LuisValls, Claudia2022-08-082022-08-082017-10-10Barreira, L., & Valls, C. (2017). Lyapunov functions for dichotomies in mean. <i>Electronic Journal of Differential Equations, 2017</i>(252), pp. 1-12.1072-6691https://hdl.handle.net/10877/16046We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure. We give a complete characterization of the exponential behavior in mean in terms of Lyapunov functions, both for cocycles over maps and flows.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalExponential dichotomies in meanLyapunov functionsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.