Cardinality of survivor sets in open dynamical systems
| dc.contributor.author | Aitu N. | |
| dc.date.accessioned | 2025-08-11T04:48:18Z | |
| dc.date.available | 2025-08-11T04:48:18Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this thesis, our goal is to learn about open dynamical systems corresponding interval maps. We study the class of dynamical systems with holes: Expanding maps of the interval. In detail, We consider symbolic dynamics with holes. Let H-hole lies in the interval [0, 1) and let T : [0, 1) −→ [0, 1) be a self map. The survivor set Ω(H) := {x ∈ [0, 1) : T nx /∈ H, n ≥ 0}. Depending on location and size of the holes we will characterize and study the survivor set Ω(H) infinite or finite, uncountable or countable and survivor set Ω(H) has positive entropy. | |
| dc.identifier.citation | Aitu N / Cardinality of survivor sets in open dynamical systems / 6M060100 - Department of Natural sciences / 2020 | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/1853 | |
| dc.language.iso | en | |
| dc.publisher | faculty of engineering and natural sciences | |
| dc.subject | Chaos theory | |
| dc.subject | Symbolic dynamics | |
| dc.subject | Proof of main results | |
| dc.title | Cardinality of survivor sets in open dynamical systems | |
| dc.type | Thesis |