Pregled bibliografske jedinice broj: 617722
Entropy of homeomorphisms on unimodal inverse limit spaces
Entropy of homeomorphisms on unimodal inverse limit spaces // Nonlinearity, 26 (2013), 991-1000 doi:10.1088/0951-7715/26/4/991 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 617722 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Entropy of homeomorphisms on unimodal inverse limit spaces
Autori
Bruin, Henk ; Štimac, Sonja
Izvornik
Nonlinearity (0951-7715) 26
(2013);
991-1000
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
entropy; inverse limit space; tent map; logistic map
Sažetak
We prove that every self-homeomorphism $h : K_s \to K_s$ on the inverse limit space $K_s$ of the tent map $T_s$ with slope $s \in (\sqrt 2, 2]$ has topological entropy $\htop(h) = |R| \log s$, where $R \in \Z$ is such that $h$ and $\sigma^R$ are isotopic. Conclusions on the possible values of the entropy of homeomorphisms of the inverse limit space of a (renormalizable) quadratic map are drawn as well.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Sonja Štimac
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
