arXiv:1809.06397 [math.DS]AbstractReferencesReviewsResources
Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations
Janusz Mierczyński, Sylvia Novo, Rafael Obaya
Published 2018-09-17Version 1
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.
Comments: 20 pages
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