Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations

preprint2018arXivOpen access

Abstract

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 pp-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.

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