| dc.contributor.advisor |
KA, Jelena |
|
| dc.contributor.author |
Đorić, Maša |
|
| dc.date.accessioned |
2026-10-01T15:18:32Z |
|
| dc.date.available |
2026-10-01T15:18:32Z |
|
| dc.date.issued |
2026-09 |
|
| dc.identifier.uri |
http://hdl.handle.net/123456789/5828 |
|
| dc.description.abstract |
In this thesis, we applied a method for computing the polynomial entropy of
dynamical systems with a finite non-wandering set to certain hyperspaces of the interval and
the circle. We subsequently generalized these results to the case where the non-wandering
set is not finite. We proved that the polynomial entropy of the induced map C(f ) is equal
to 2, that of Fn(f ) is equal to n, and that of 2f is infinite, when f is a homeomorphism of
the interval or the circle. Furthermore, we generalized these results for the n-fold symmetric
product of the interval and the circle to an arbitrary compact metric space X and extended
them to the suspension of the space Fn(X). In addition to the results on hyperspaces, we
presented results concerning polynomial entropy on certain one-dimensional continua, such
as local dendrites and regular curves. We also constructed a family of pointwise periodic
homeomorphisms on a continuum whose polynomial entropy attains every value in [0, +∞]. |
en_US |
| dc.description.provenance |
Submitted by Slavisha Milisavljevic (slavisha) on 2026-10-01T15:18:32Z
No. of bitstreams: 1
Masa-DJoric-teza.pdf: 5585995 bytes, checksum: b7f6f7dbe5b713b716d382263b139710 (MD5) |
en |
| dc.description.provenance |
Made available in DSpace on 2026-10-01T15:18:32Z (GMT). No. of bitstreams: 1
Masa-DJoric-teza.pdf: 5585995 bytes, checksum: b7f6f7dbe5b713b716d382263b139710 (MD5)
Previous issue date: 2026-09 |
en |
| dc.language.iso |
sr |
en_US |
| dc.publisher |
Beograd |
en_US |
| dc.title |
POLINOMIJALNA ENTROPIJA INDUKAOVANIH DINAMIČKIH SISTEMA NA HIPERPROSTORIMA |
en_US |
| mf.subject.area |
Mathematics |
en_US |
| mf.subject.keywords |
topological dynamical systems, polynomial entropy, hyperspaces, regular curves, pointwise periodic homeomorphisms |
en_US |
| mf.subject.subarea |
Differential equations |
en_US |
| mf.contributor.committee |
Milinković, Darko |
|
| mf.contributor.committee |
Uljarević, Igor |
|
| mf.contributor.committee |
Gajić, Borislav |
|
| mf.university.faculty |
Mathematical Faculty |
en_US |
| mf.document.references |
55 |
en_US |
| mf.document.pages |
110 |
en_US |
| mf.document.location |
Beograd |
en_US |
| mf.document.genealogy-project |
No |
en_US |
| mf.university |
Belgrade University |
en_US |