Naslov
Shadowing, asymptotic shadowing and s-limit shadowing

Autori
Good, Chris ; Oprocha, Piotr ; Puljiz, Mate

Izvornik
Fundamenta mathematicae (0016-2736) 244 (2019), 3; 287-312

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
interval maps ; shadowing property ; linking property ; internally chain transitive sets ; ω-limit sets ; symbolic dynamics

Sažetak
We study three notions of shadowing: classical shadowing, limit (or asym- ptotic) shadowing, and s-limit shadowing. We show that classical and s-limit shadowing coincide for tent maps and, more generally, for piecewise linear interval maps with constant slopes, and are further equivalent to the linking property introduced by Chen in 1991. We also construct a system which exhibits shadowing but not limit shadowing, and we study how shadowing properties transfer to maximal transitive subsystems and inverse limits (sometimes called natural extensions). Where practicable, we show that our results are best possible by means of examples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA