Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations
Dynamical Systems
2020-02-20 v1 Classical Analysis and ODEs
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 -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.
Keywords
Cite
@article{arxiv.1809.06397,
title = {Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations},
author = {Janusz Mierczyński and Sylvia Novo and Rafael Obaya},
journal= {arXiv preprint arXiv:1809.06397},
year = {2020}
}
Comments
20 pages