Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Mazyar Ghani Varzaneh
  • Sebastian Riedel

External Research Organisations

  • Sharif University of Technology
  • Technische Universität Berlin
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Details

Original languageEnglish
Pages (from-to)103-133
Number of pages31
JournalJournal of Dynamics and Differential Equations
Volume35
Issue number1
Early online date10 Mar 2021
Publication statusPublished - Mar 2023
Externally publishedYes

Abstract

We prove a semi-invertible Oseledets theorem for cocycles acting on measurable fields of Banach spaces, i.e. we only assume invertibility of the base, not of the operator. As an application, we prove an invariant manifold theorem for nonlinear cocycles acting on measurable fields of Banach spaces.

Keywords

    Fields of Banach spaces, Invariant manifolds, Oseledets splitting, Semi-invertible multiplicative ergodic theorem

ASJC Scopus subject areas

Cite this

Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces. / Ghani Varzaneh, Mazyar; Riedel, Sebastian.
In: Journal of Dynamics and Differential Equations, Vol. 35, No. 1, 03.2023, p. 103-133.

Research output: Contribution to journal › Article › Research › peer review

Ghani Varzaneh M, Riedel S. Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces. Journal of Dynamics and Differential Equations. 2023 Mar;35(1):103-133. Epub 2021 Mar 10. doi: 10.1007/s10884-021-09969-1
Ghani Varzaneh, Mazyar ; Riedel, Sebastian. / Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces. In: Journal of Dynamics and Differential Equations. 2023 ; Vol. 35, No. 1. pp. 103-133.
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