Area preserving analytic flows with dense orbits
type: Item
instance of: scholarly article
title: Area preserving analytic flows with dense orbits
zbMATH Open document ID: 1186.37009
author: Habib Marzougui
author: Gabriel Soler López
published in: Topology and its Applications
publication date: 2009-11-05T00:00:00Z
full work available at URL: http://hdl.handle.net/10317/1194
review text: This paper gives a sufficient condition for an area preserving flow to have a dense orbit (topological transitivity). The main result states that if \(\phi\) is an area-preserving continuous flow on a compact connected surface \(S\), without periodic orbits, whose singular set has empty interior, and whose singular set union the set of points which limit on it does not separate \(S\); then \(\phi\) has a dense orbit.
Mathematics Subject Classification ID: 37A10
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37E35
zbMATH DE Number: 5625499
zbMATH Keywords: analytic flow
zbMATH Keywords: area-preserving flow
zbMATH Keywords: orbit
zbMATH Keywords: dense orbit
zbMATH Keywords: \(\omega \)-limit set
reviewed by: Jayadev S. Athreya
MaRDI profile type: Publication
OpenAlex ID: W2113592950
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DOI: 10.1016/J.TOPOL.2009.05.011
description: scientific article; zbMATH DE number 5625499