Strongly Reversible Flows on Connected Manifolds

Let be a flow of homeomorphisms of a connected -manifold and let be its limit set. The flow is said to be strongly reversed by a reflection if for all . In this paper, we study the dynamics of positively equicontinuous strongly reversible flows. If is nonempty, we discuss the existence of symmetric...

Full description

Saved in:
Bibliographic Details
Published in:Regular & chaotic dynamics 2021-11, Vol.26 (6), p.742-755
Main Author: Rejeb, Khadija Ben
Format: Article
Language:English
Subjects:
Dynamical Systems and Ergodic Theory
Manifolds
Mathematics
Mathematics and Statistics
Orbits
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let be a flow of homeomorphisms of a connected -manifold and let be its limit set. The flow is said to be strongly reversed by a reflection if for all . In this paper, we study the dynamics of positively equicontinuous strongly reversible flows. If is nonempty, we discuss the existence of symmetric periodic orbits, and for we prove that such flows must be periodic. If is empty, we show that positively equicontinuous implies strongly reversible and strongly reversible implies parallelizable with global section the fixed point set .
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S1560354721060113