Area preserving analytic flows with dense orbits
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.
scientific article; zbMATH DE number 5625499