| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8904008 | Topology and its Applications | 2018 | 18 Pages |
Abstract
We establish that finite directed graphs give rise to semiflows on the power set of their nodes. We analyze the topological dynamics for semiflows on finite directed graphs by characterizing Morse decompositions, recurrence behavior and attractor-repeller pairs under weaker assumptions. As is expected, the discrete metric plays an important role in our constructions and their consequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
José Ayala, Wolfgang Kliemann,