Area preserving analytic flows with dense orbits (Q1032948)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Area preserving analytic flows with dense orbits |
scientific article; zbMATH DE number 5625499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Area preserving analytic flows with dense orbits |
scientific article; zbMATH DE number 5625499 |
Statements
Area preserving analytic flows with dense orbits (English)
0 references
5 November 2009
0 references
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.
0 references
analytic flow
0 references
area-preserving flow
0 references
orbit
0 references
dense orbit
0 references
\(\omega \)-limit set
0 references
