Dynamics and indecomposable inverse limit spaces of maps on finite graphs (Q1210360)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Dynamics and indecomposable inverse limit spaces of maps on finite graphs |
scientific article; zbMATH DE number 179083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dynamics and indecomposable inverse limit spaces of maps on finite graphs |
scientific article; zbMATH DE number 179083 |
Statements
Dynamics and indecomposable inverse limit spaces of maps on finite graphs (English)
0 references
11 August 1993
0 references
The author obtains the following results: If the map has a dense orbit on a finite tree then the map is chaotic. Also, if the map on a finite tree has a dense orbit or a homoclinic orbit or periodic points of certain prescribed periods then the associated inverse limit space must contain indecomposable subcontinua. Finally, it is shown that if a map on a finite graph has a set of periodic points of prescribed periods depending on the geometry of the finite graph, then the inverse limit space again must contain an indecomposable subcontinuum.
0 references
homoclinic orbit
0 references
periodic points
0 references
inverse limit
0 references
