Attractors and Chain Recurrence for Semigroup Actions
Let be a semigroup acting on a topological space M . We define attractors for the action of on M . This concept depends on a family of subsets of . For certain semigroups and families it recovers the concept of attractors for flows or semiflows. We define and study the complementary repeller of an a...
Gespeichert in:
| Veröffentlicht in: | Journal of dynamics and differential equations 2010-12, Vol.22 (4), p.723-740 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | Let
be a semigroup acting on a topological space
M
. We define attractors for the action of
on
M
. This concept depends on a family
of subsets of
. For certain semigroups and families it recovers the concept of attractors for flows or semiflows. We define and study the complementary repeller of an attractor. We also characterize the set of chain recurrent points in terms of attractors. |
|---|---|
| ISSN: | 1040-7294 1572-9222 |
| DOI: | 10.1007/s10884-010-9164-3 |