Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Mazyar Ghani Varzaneh
  • Sebastian Riedel

Externe Organisationen

  • Sharif University of Technology
  • Technische Universität Berlin
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)103-133
Seitenumfang31
FachzeitschriftJournal of Dynamics and Differential Equations
Jahrgang35
Ausgabenummer1
Frühes Online-Datum10 März 2021
PublikationsstatusVeröffentlicht - März 2023
Extern publiziertJa

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.

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Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces. / Ghani Varzaneh, Mazyar; Riedel, Sebastian.
in: Journal of Dynamics and Differential Equations, Jahrgang 35, Nr. 1, 03.2023, S. 103-133.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ghani Varzaneh M, Riedel S. Oseledets Splitting and Invariant Manifolds on Fields of Banach Spaces. Journal of Dynamics and Differential Equations. 2023 Mär;35(1):103-133. Epub 2021 Mär 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 ; Jahrgang 35, Nr. 1. S. 103-133.
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