| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657723 | Topology | 2006 | 17 Pages |
Abstract
Let a smooth vector field VV on a smooth closed manifold MM be given and let Z⊂MZ⊂M be an isolated invariant set for the flow of VV. In this situation, we give a necessary and sufficient condition for the existence of a Lyapunov 1-form for (V,Z)(V,Z) in terms of the relative asymptotic cycles associated with certain invariant measures of the flow.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Janko Latschev,