LYAPUNOV EXPONENTS AND OSELEDETS DECOMPOSITION IN RANDOM DYNAMICAL SYSTEMS GENERATED BY SYSTEMS OF DELAY DIFFERENTIAL EQUATIONS

摘要

Linear skew-product semidynamical systems generated by random systems of delay differential equations are considered, both on a space of continuous functions as well as on a space of p-summable functions. The main result states that in both cases, the Lyapunov exponents are identical, and that the Oseledets decompositions are related by natural embeddings.