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arXiv · 1809.06397

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

Janusz Mierczyński·Sylvia Novo·Rafael Obaya
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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 $p$-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.

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Janusz Mierczyński, Sylvia Novo, Rafael Obaya. 2018-09-17. Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations. https://doi.org/10.3934/cpaa.2020098

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