Abstract
This paper presents a theory of dynamics of closed relations on compact Hausdorff spaces. It contains an investigation of set valued maps and establishes generalizations for some topological aspects of dynamical systems theory, including recurrence, attractor-repeller structure and the Conley decomposition theorem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-47 |
| Number of pages | 47 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 12 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2006 |
Keywords
- Attractor-Repeller structure
- Conley decomposition theorem
- Hausdorff space
- Topology