Topological entropy is generically infinite for non-Lipschitz velocity fields
Dynamical Systems
2026-04-29 v2 Analysis of PDEs
Abstract
We prove that for any Osgood non-Lipschitz modulus of continuity , flow maps associated with time-periodic -continuous velocity fields generically (in the sense of Baire) have infinite topological entropy.
Keywords
Cite
@article{arxiv.2604.01077,
title = {Topological entropy is generically infinite for non-Lipschitz velocity fields},
author = {Carl Johan Peter Johansson and Giulia Mescolini},
journal= {arXiv preprint arXiv:2604.01077},
year = {2026}
}
Comments
9 pages, 1 figure; minor edits