Pregled bibliografske jedinice broj: 879540
Chain transitivity in hyperspaces
Chain transitivity in hyperspaces // Chaos, solitons and fractals, 81 (2015), Part A; 83-90 doi:10.1016/j.chaos.2015.08.026 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 879540 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Chain transitivity in hyperspaces
Autori
Fernández, Leobardo ; Good, Chris ; Puljiz, Mate ; Ramírez, Ártico
Izvornik
Chaos, solitons and fractals (0960-0779) 81
(2015), Part A;
83-90
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
δ-pseudo orbit ; induced map ; chain transitivity ; chain weakly mixing ; exact by chains.
Sažetak
Given a non-empty compact metric space X and a continuous function f: X → X, we study the dynamics of the induced maps on the hyperspace of non-empty compact subsets of X and on various other invariant subspaces thereof, in particular symmetric products. We show how some important dynamical properties transfer across induced systems. These amongst others include, chain transitivity, chain (weakly) mixing, chain recurrence, exactness by chains. From our main theorem we derive an ε- chain version of Furstenberg’s celebrated 2 implies n Theorem. We also show the implications our results have for dynamics on continua.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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
