Dimension estimates for nonlinear nonautonomous systems in arbitrary normed spaces
Dynamical Systems
2025-02-25 v2
Abstract
We calculate explicit estimates for the dimension of trajectories satisfying a certain growth bound. We generalize the classic results of Kurzweil by considering nonlinear nonautonomous and uniformly compact dynamical systems on normed spaces over arbitrary fields. We furthermore refine the results in the case of delay equations, greatly simplifying the relevant growth bounds.
Cite
@article{arxiv.2502.10892,
title = {Dimension estimates for nonlinear nonautonomous systems in arbitrary normed spaces},
author = {John Ioannis Stavroulakis},
journal= {arXiv preprint arXiv:2502.10892},
year = {2025}
}
Comments
27 pages, minor simplifications to Cor. 17