Chain recurrence and Selgrade`s theorem for affine flows
Optimization and Control
2025-08-19 v3 Dynamical Systems
Abstract
Affine flows on vector bundles with chain transitive base flow are lifted to linear flows and the decomposition into exponentially separated subbundles provided by Selgrade's theorem is determined. The results are illustrated by an application to affine control systems with bounded control range.
Cite
@article{arxiv.2305.12758,
title = {Chain recurrence and Selgrade`s theorem for affine flows},
author = {Fritz Colonius and Alexandre J. Santana},
journal= {arXiv preprint arXiv:2305.12758},
year = {2025}
}
Comments
34 pages, 1 figure. An Erratum (submitted) has been added