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Main Authors:	Yang, Y., Morales, C. A.
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Primary 54H20, Secondary 49J53
Online Access:	https://arxiv.org/abs/2510.13224
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_version_	1866915555690151936
author	Yang, Y. Morales, C. A.
author_facet	Yang, Y. Morales, C. A.
contents	We introduce the concept of topological expansive flow. We prove that this concept is invariant by topological conjugacy and reduces to expansivity in the compact case. We characterize tiopological expansive flows as rescaling expansive flows for which the singularities are isolated points of the space. Finally, we prove that the growth rate of the periodic orbits of a topological expansive flow which is dynamically isolated at infinity is controlled by an entropy-like invariant. This extends Bowen-Walters inequality for expansive flows on compact spaces.
format	Preprint
id	arxiv_https___arxiv_org_abs_2510_13224
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Expansiveness for flows on noncompact spaces Yang, Y. Morales, C. A. Dynamical Systems Primary 54H20, Secondary 49J53 We introduce the concept of topological expansive flow. We prove that this concept is invariant by topological conjugacy and reduces to expansivity in the compact case. We characterize tiopological expansive flows as rescaling expansive flows for which the singularities are isolated points of the space. Finally, we prove that the growth rate of the periodic orbits of a topological expansive flow which is dynamically isolated at infinity is controlled by an entropy-like invariant. This extends Bowen-Walters inequality for expansive flows on compact spaces.
title	Expansiveness for flows on noncompact spaces
topic	Dynamical Systems Primary 54H20, Secondary 49J53
url	https://arxiv.org/abs/2510.13224

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