Oseledets Decomposition on Sub semiflows
Marek Kryspin
TL;DR
This paper proves the existence of the Oseledets decomposition on subspaces of Banach spaces under natural conditions, extending its applicability to dynamical systems from differential equations.
Contribution
It establishes conditions under which the Oseledets decomposition can be transferred to sub semiflows in Banach spaces, broadening its theoretical framework.
Findings
Proves existence of Oseledets decomposition on subspaces of Banach spaces.
Identifies natural assumptions for transfer of the decomposition.
Applicable to dynamical systems generated by differential equations.
Abstract
The existence of the Oseledets decomposition on continuously embedded subspaces of Banach spaces is proved in this paper. Natural assumptions facilitating such transfer of the Oseledets decomposition are presented, notably conditions often met by dynamical systems generated by differential equations.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Nonlinear Differential Equations Analysis