Stable/unstable continua of cw-expansive flows
Dynamical Systems
2025-12-11 v1
Abstract
We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua.
Keywords
Cite
@article{arxiv.2410.00514,
title = {Stable/unstable continua of cw-expansive flows},
author = {Alfonso Artigue and Bernardo Carvalho and Margoth Tacuri},
journal= {arXiv preprint arXiv:2410.00514},
year = {2025}
}