| dc.contributor |
Raines, Brian Edward, 1975- |
|
| dc.creator |
Tennant, Timothy, 1987- |
|
| dc.date |
2016-06-21T13:35:29Z |
|
| dc.date |
2016-06-21T13:35:29Z |
|
| dc.date |
2016-05 |
|
| dc.date |
2016-04-04 |
|
| dc.date |
May 2016 |
|
| dc.date |
2016-06-21T13:35:29Z |
|
| dc.date.accessioned |
2022-05-18T12:29:27Z |
|
| dc.date.available |
2022-05-18T12:29:27Z |
|
| dc.identifier |
http://hdl.handle.net/2104/9605 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/31775 |
|
| dc.description |
In this thesis, many classical results of topological dynamics are adapted to the set-valued case. In particular, focus is given to the notions of topological entropy and the specification property. These properties are defined in the context of set-valued functions, and examples are given both of classical theorems that extend naturally to this setting and of theorems which have no clear analogue. Particular attention is paid to a result which states that if a dynamical system has the specification property, there exists invariant non-atomic measures with full support. |
|
| dc.format |
application/pdf |
|
| dc.format |
application/pdf |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.rights |
Worldwide access. |
|
| dc.rights |
Access changed 7/12/18. |
|
| dc.subject |
Topological chaos. Set-valued dynamical systems. Set-valued inverse limits. Specification property. Topological entropy. |
|
| dc.title |
Chaotic properties of set-valued dynamical systems. |
|
| dc.type |
Thesis |
|
| dc.type |
text |
|